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Finding the Fourth Proportional to 49,882.60, 74,823.90 and 24,885.28

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Solution

The fourth proportional to 49,882.60, 74,823.90 and 24,885.28 is: 37,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882.60 : 74,823.90 = 24,885.28 : x
  2. Step 2: Convert to fraction form
    49,882.60/74,823.90 = 24,885.28/x
  3. Step 3: Cross multiply
    49,882.60x = 74,823.90 × 24,885.28
  4. Step 4: Simplify right side
    49,882.60x = 1,862,013,702.19
  5. Step 5: Solve for x
    x = 1,862,013,702.19/49,882.60
  6. Step 6: Final answer
    x = 37,327.92

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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.