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Finding the Fourth Proportional to 85,092.12, 127,638.18 and 22,761

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Solution

The fourth proportional to 85,092.12, 127,638.18 and 22,761 is: 34,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,092.12 : 127,638.18 = 22,761 : x
  2. Step 2: Convert to fraction form
    85,092.12/127,638.18 = 22,761/x
  3. Step 3: Cross multiply
    85,092.12x = 127,638.18 × 22,761
  4. Step 4: Simplify right side
    85,092.12x = 2,905,172,614.98
  5. Step 5: Solve for x
    x = 2,905,172,614.98/85,092.12
  6. Step 6: Final answer
    x = 34,141.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.