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Finding the Fourth Proportional to 48,999,978.90, 73,511,041.41 and 16,210,470.84

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Solution

The fourth proportional to 48,999,978.90, 73,511,041.41 and 16,210,470.84 is: 24,319,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,999,978.90 : 73,511,041.41 = 16,210,470.84 : x
  2. Step 2: Convert to fraction form
    48,999,978.90/73,511,041.41 = 16,210,470.84/x
  3. Step 3: Cross multiply
    48,999,978.90x = 73,511,041.41 × 16,210,470.84
  4. Step 4: Simplify right side
    48,999,978.90x = 1,191,648,593,194,837.50
  5. Step 5: Solve for x
    x = 1,191,648,593,194,837.50/48,999,978.90
  6. Step 6: Final answer
    x = 24,319,369.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.