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Finding the Fourth Proportional to 48,862.40, 67,431.54 and 27,641.24

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Solution

The fourth proportional to 48,862.40, 67,431.54 and 27,641.24 is: 38,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,862.40 : 67,431.54 = 27,641.24 : x
  2. Step 2: Convert to fraction form
    48,862.40/67,431.54 = 27,641.24/x
  3. Step 3: Cross multiply
    48,862.40x = 67,431.54 × 27,641.24
  4. Step 4: Simplify right side
    48,862.40x = 1,863,891,380.71
  5. Step 5: Solve for x
    x = 1,863,891,380.71/48,862.40
  6. Step 6: Final answer
    x = 38,145.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.