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Finding the Fourth Proportional to 83,933, 115,794.28 and 58,432.56

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Solution

The fourth proportional to 83,933, 115,794.28 and 58,432.56 is: 80,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,933 : 115,794.28 = 58,432.56 : x
  2. Step 2: Convert to fraction form
    83,933/115,794.28 = 58,432.56/x
  3. Step 3: Cross multiply
    83,933x = 115,794.28 × 58,432.56
  4. Step 4: Simplify right side
    83,933x = 6,766,156,213.76
  5. Step 5: Solve for x
    x = 6,766,156,213.76/83,933
  6. Step 6: Final answer
    x = 80,613.78

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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.