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Finding the Fourth Proportional to 83,686.83, 125,531.28 and 24,523.71

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Solution

The fourth proportional to 83,686.83, 125,531.28 and 24,523.71 is: 36,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,686.83 : 125,531.28 = 24,523.71 : x
  2. Step 2: Convert to fraction form
    83,686.83/125,531.28 = 24,523.71/x
  3. Step 3: Cross multiply
    83,686.83x = 125,531.28 × 24,523.71
  4. Step 4: Simplify right side
    83,686.83x = 3,078,492,706.65
  5. Step 5: Solve for x
    x = 3,078,492,706.65/83,686.83
  6. Step 6: Final answer
    x = 36,785.87

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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.