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Finding the Fourth Proportional to 83,915.39, 125,854.83 and 27,742.23

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Solution

The fourth proportional to 83,915.39, 125,854.83 and 27,742.23 is: 41,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.39 : 125,854.83 = 27,742.23 : x
  2. Step 2: Convert to fraction form
    83,915.39/125,854.83 = 27,742.23/x
  3. Step 3: Cross multiply
    83,915.39x = 125,854.83 × 27,742.23
  4. Step 4: Simplify right side
    83,915.39x = 3,491,493,640.47
  5. Step 5: Solve for x
    x = 3,491,493,640.47/83,915.39
  6. Step 6: Final answer
    x = 41,607.31

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1.5x scale

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.