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Finding the Fourth Proportional to 70,038, 96,654.16 and 38,209.92

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Solution

The fourth proportional to 70,038, 96,654.16 and 38,209.92 is: 52,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038 : 96,654.16 = 38,209.92 : x
  2. Step 2: Convert to fraction form
    70,038/96,654.16 = 38,209.92/x
  3. Step 3: Cross multiply
    70,038x = 96,654.16 × 38,209.92
  4. Step 4: Simplify right side
    70,038x = 3,693,147,721.27
  5. Step 5: Solve for x
    x = 3,693,147,721.27/70,038
  6. Step 6: Final answer
    x = 52,730.63

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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.