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Finding the Fourth Proportional to 81,711.70, 122,552.96 and 21,740.52

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Solution

The fourth proportional to 81,711.70, 122,552.96 and 21,740.52 is: 32,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.70 : 122,552.96 = 21,740.52 : x
  2. Step 2: Convert to fraction form
    81,711.70/122,552.96 = 21,740.52/x
  3. Step 3: Cross multiply
    81,711.70x = 122,552.96 × 21,740.52
  4. Step 4: Simplify right side
    81,711.70x = 2,664,365,077.94
  5. Step 5: Solve for x
    x = 2,664,365,077.94/81,711.70
  6. Step 6: Final answer
    x = 32,606.90

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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.