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Finding the Fourth Proportional to 48,566.78, 72,840.34 and 16,978.20

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Solution

The fourth proportional to 48,566.78, 72,840.34 and 16,978.20 is: 25,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,566.78 : 72,840.34 = 16,978.20 : x
  2. Step 2: Convert to fraction form
    48,566.78/72,840.34 = 16,978.20/x
  3. Step 3: Cross multiply
    48,566.78x = 72,840.34 × 16,978.20
  4. Step 4: Simplify right side
    48,566.78x = 1,236,697,860.59
  5. Step 5: Solve for x
    x = 1,236,697,860.59/48,566.78
  6. Step 6: Final answer
    x = 25,463.86

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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.