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Finding the Fourth Proportional to 48,882.61, 67,460.52 and 27,661.42

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Solution

The fourth proportional to 48,882.61, 67,460.52 and 27,661.42 is: 38,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882.61 : 67,460.52 = 27,661.42 : x
  2. Step 2: Convert to fraction form
    48,882.61/67,460.52 = 27,661.42/x
  3. Step 3: Cross multiply
    48,882.61x = 67,460.52 × 27,661.42
  4. Step 4: Simplify right side
    48,882.61x = 1,866,053,777.14
  5. Step 5: Solve for x
    x = 1,866,053,777.14/48,882.61
  6. Step 6: Final answer
    x = 38,174.18

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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.