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Finding the Fourth Proportional to 70,391.38, 97,140.57 and 38,560.42

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Solution

The fourth proportional to 70,391.38, 97,140.57 and 38,560.42 is: 53,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,391.38 : 97,140.57 = 38,560.42 : x
  2. Step 2: Convert to fraction form
    70,391.38/97,140.57 = 38,560.42/x
  3. Step 3: Cross multiply
    70,391.38x = 97,140.57 × 38,560.42
  4. Step 4: Simplify right side
    70,391.38x = 3,745,781,178.24
  5. Step 5: Solve for x
    x = 3,745,781,178.24/70,391.38
  6. Step 6: Final answer
    x = 53,213.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.