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Finding the Fourth Proportional to 71,752.83, 107,633.29 and 21,834.55

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Solution

The fourth proportional to 71,752.83, 107,633.29 and 21,834.55 is: 32,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.83 : 107,633.29 = 21,834.55 : x
  2. Step 2: Convert to fraction form
    71,752.83/107,633.29 = 21,834.55/x
  3. Step 3: Cross multiply
    71,752.83x = 107,633.29 × 21,834.55
  4. Step 4: Simplify right side
    71,752.83x = 2,350,124,452.17
  5. Step 5: Solve for x
    x = 2,350,124,452.17/71,752.83
  6. Step 6: Final answer
    x = 32,753.06

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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.