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Finding the Fourth Proportional to 70,109.92, 96,753.52 and 38,281.76

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Solution

The fourth proportional to 70,109.92, 96,753.52 and 38,281.76 is: 52,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109.92 : 96,753.52 = 38,281.76 : x
  2. Step 2: Convert to fraction form
    70,109.92/96,753.52 = 38,281.76/x
  3. Step 3: Cross multiply
    70,109.92x = 96,753.52 × 38,281.76
  4. Step 4: Simplify right side
    70,109.92x = 3,703,895,031.80
  5. Step 5: Solve for x
    x = 3,703,895,031.80/70,109.92
  6. Step 6: Final answer
    x = 52,829.83

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1.5x scale

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.