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Finding the Fourth Proportional to 48,962, 73,442.80 and 13,901.68

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Solution

The fourth proportional to 48,962, 73,442.80 and 13,901.68 is: 20,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,962 : 73,442.80 = 13,901.68 : x
  2. Step 2: Convert to fraction form
    48,962/73,442.80 = 13,901.68/x
  3. Step 3: Cross multiply
    48,962x = 73,442.80 × 13,901.68
  4. Step 4: Simplify right side
    48,962x = 1,020,978,303.90
  5. Step 5: Solve for x
    x = 1,020,978,303.90/48,962
  6. Step 6: Final answer
    x = 20,852.46

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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.