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Finding the Fourth Proportional to 83,175.60, 124,763.40 and 45,721.20

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Solution

The fourth proportional to 83,175.60, 124,763.40 and 45,721.20 is: 68,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.60 : 124,763.40 = 45,721.20 : x
  2. Step 2: Convert to fraction form
    83,175.60/124,763.40 = 45,721.20/x
  3. Step 3: Cross multiply
    83,175.60x = 124,763.40 × 45,721.20
  4. Step 4: Simplify right side
    83,175.60x = 5,704,332,364.08
  5. Step 5: Solve for x
    x = 5,704,332,364.08/83,175.60
  6. Step 6: Final answer
    x = 68,581.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.