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Finding the Fourth Proportional to 70,042.14, 96,658.02 and 38,211.03

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Solution

The fourth proportional to 70,042.14, 96,658.02 and 38,211.03 is: 52,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,042.14 : 96,658.02 = 38,211.03 : x
  2. Step 2: Convert to fraction form
    70,042.14/96,658.02 = 38,211.03/x
  3. Step 3: Cross multiply
    70,042.14x = 96,658.02 × 38,211.03
  4. Step 4: Simplify right side
    70,042.14x = 3,693,402,501.96
  5. Step 5: Solve for x
    x = 3,693,402,501.96/70,042.14
  6. Step 6: Final answer
    x = 52,731.15

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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.