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Finding the Fourth Proportional to 72,398.10, 108,593.10 and 22,477.80

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Solution

The fourth proportional to 72,398.10, 108,593.10 and 22,477.80 is: 33,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,398.10 : 108,593.10 = 22,477.80 : x
  2. Step 2: Convert to fraction form
    72,398.10/108,593.10 = 22,477.80/x
  3. Step 3: Cross multiply
    72,398.10x = 108,593.10 × 22,477.80
  4. Step 4: Simplify right side
    72,398.10x = 2,440,933,983.18
  5. Step 5: Solve for x
    x = 2,440,933,983.18/72,398.10
  6. Step 6: Final answer
    x = 33,715.44

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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.