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Finding the Fourth Proportional to 81,702.76, 122,564.70 and 29,127.40

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Solution

The fourth proportional to 81,702.76, 122,564.70 and 29,127.40 is: 43,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.76 : 122,564.70 = 29,127.40 : x
  2. Step 2: Convert to fraction form
    81,702.76/122,564.70 = 29,127.40/x
  3. Step 3: Cross multiply
    81,702.76x = 122,564.70 × 29,127.40
  4. Step 4: Simplify right side
    81,702.76x = 3,569,991,042.78
  5. Step 5: Solve for x
    x = 3,569,991,042.78/81,702.76
  6. Step 6: Final answer
    x = 43,694.86

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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.