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Finding the Fourth Proportional to 48,657.14, 67,149.19 and 27,435.95

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Solution

The fourth proportional to 48,657.14, 67,149.19 and 27,435.95 is: 37,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.14 : 67,149.19 = 27,435.95 : x
  2. Step 2: Convert to fraction form
    48,657.14/67,149.19 = 27,435.95/x
  3. Step 3: Cross multiply
    48,657.14x = 67,149.19 × 27,435.95
  4. Step 4: Simplify right side
    48,657.14x = 1,842,301,819.38
  5. Step 5: Solve for x
    x = 1,842,301,819.38/48,657.14
  6. Step 6: Final answer
    x = 37,862.93

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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.