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Finding the Fourth Proportional to 41,882.64, 62,827.02 and 15,587.40

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Solution

The fourth proportional to 41,882.64, 62,827.02 and 15,587.40 is: 23,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882.64 : 62,827.02 = 15,587.40 : x
  2. Step 2: Convert to fraction form
    41,882.64/62,827.02 = 15,587.40/x
  3. Step 3: Cross multiply
    41,882.64x = 62,827.02 × 15,587.40
  4. Step 4: Simplify right side
    41,882.64x = 979,309,891.55
  5. Step 5: Solve for x
    x = 979,309,891.55/41,882.64
  6. Step 6: Final answer
    x = 23,382.24

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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.