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Finding the Fourth Proportional to 47,892.38, 66,091.46 and 27,760.93

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Solution

The fourth proportional to 47,892.38, 66,091.46 and 27,760.93 is: 38,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,892.38 : 66,091.46 = 27,760.93 : x
  2. Step 2: Convert to fraction form
    47,892.38/66,091.46 = 27,760.93/x
  3. Step 3: Cross multiply
    47,892.38x = 66,091.46 × 27,760.93
  4. Step 4: Simplify right side
    47,892.38x = 1,834,760,246.78
  5. Step 5: Solve for x
    x = 1,834,760,246.78/47,892.38
  6. Step 6: Final answer
    x = 38,310.07

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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.