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Finding the Fourth Proportional to 47,893.38, 66,092.84 and 27,761.93

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Solution

The fourth proportional to 47,893.38, 66,092.84 and 27,761.93 is: 38,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,893.38 : 66,092.84 = 27,761.93 : x
  2. Step 2: Convert to fraction form
    47,893.38/66,092.84 = 27,761.93/x
  3. Step 3: Cross multiply
    47,893.38x = 66,092.84 × 27,761.93
  4. Step 4: Simplify right side
    47,893.38x = 1,834,864,797.58
  5. Step 5: Solve for x
    x = 1,834,864,797.58/47,893.38
  6. Step 6: Final answer
    x = 38,311.45

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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.