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Finding the Fourth Proportional to 81,874.83, 122,812.24 and 22,710.50

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Solution

The fourth proportional to 81,874.83, 122,812.24 and 22,710.50 is: 34,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.83 : 122,812.24 = 22,710.50 : x
  2. Step 2: Convert to fraction form
    81,874.83/122,812.24 = 22,710.50/x
  3. Step 3: Cross multiply
    81,874.83x = 122,812.24 × 22,710.50
  4. Step 4: Simplify right side
    81,874.83x = 2,789,126,915.97
  5. Step 5: Solve for x
    x = 2,789,126,915.97/81,874.83
  6. Step 6: Final answer
    x = 34,065.74

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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.