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Finding the Fourth Proportional to 72,732.55, 109,098.96 and 22,816.57

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Solution

The fourth proportional to 72,732.55, 109,098.96 and 22,816.57 is: 34,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,732.55 : 109,098.96 = 22,816.57 : x
  2. Step 2: Convert to fraction form
    72,732.55/109,098.96 = 22,816.57/x
  3. Step 3: Cross multiply
    72,732.55x = 109,098.96 × 22,816.57
  4. Step 4: Simplify right side
    72,732.55x = 2,489,264,057.77
  5. Step 5: Solve for x
    x = 2,489,264,057.77/72,732.55
  6. Step 6: Final answer
    x = 34,224.90

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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.