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Finding the Fourth Proportional to 83,446, 115,158.18 and 45,722.68

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Solution

The fourth proportional to 83,446, 115,158.18 and 45,722.68 is: 63,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,446 : 115,158.18 = 45,722.68 : x
  2. Step 2: Convert to fraction form
    83,446/115,158.18 = 45,722.68/x
  3. Step 3: Cross multiply
    83,446x = 115,158.18 × 45,722.68
  4. Step 4: Simplify right side
    83,446x = 5,265,340,613.52
  5. Step 5: Solve for x
    x = 5,265,340,613.52/83,446
  6. Step 6: Final answer
    x = 63,098.78

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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.