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Finding the Fourth Proportional to 70,042.14, 96,658.38 and 38,211.71

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Solution

The fourth proportional to 70,042.14, 96,658.38 and 38,211.71 is: 52,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,042.14 : 96,658.38 = 38,211.71 : x
  2. Step 2: Convert to fraction form
    70,042.14/96,658.38 = 38,211.71/x
  3. Step 3: Cross multiply
    70,042.14x = 96,658.38 × 38,211.71
  4. Step 4: Simplify right side
    70,042.14x = 3,693,481,502.34
  5. Step 5: Solve for x
    x = 3,693,481,502.34/70,042.14
  6. Step 6: Final answer
    x = 52,732.28

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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.