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Finding the Fourth Proportional to 71,306.42, 106,885.42 and 23,885.78

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Solution

The fourth proportional to 71,306.42, 106,885.42 and 23,885.78 is: 35,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306.42 : 106,885.42 = 23,885.78 : x
  2. Step 2: Convert to fraction form
    71,306.42/106,885.42 = 23,885.78/x
  3. Step 3: Cross multiply
    71,306.42x = 106,885.42 × 23,885.78
  4. Step 4: Simplify right side
    71,306.42x = 2,553,041,507.90
  5. Step 5: Solve for x
    x = 2,553,041,507.90/71,306.42
  6. Step 6: Final answer
    x = 35,803.81

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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.