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Finding the Fourth Proportional to 72,057.50, 108,010.91 and 24,656.68

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Solution

The fourth proportional to 72,057.50, 108,010.91 and 24,656.68 is: 36,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,057.50 : 108,010.91 = 24,656.68 : x
  2. Step 2: Convert to fraction form
    72,057.50/108,010.91 = 24,656.68/x
  3. Step 3: Cross multiply
    72,057.50x = 108,010.91 × 24,656.68
  4. Step 4: Simplify right side
    72,057.50x = 2,663,190,444.38
  5. Step 5: Solve for x
    x = 2,663,190,444.38/72,057.50
  6. Step 6: Final answer
    x = 36,959.24

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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.