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Finding the Fourth Proportional to 81,888.83, 122,833.24 and 22,724.52

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Solution

The fourth proportional to 81,888.83, 122,833.24 and 22,724.52 is: 34,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,888.83 : 122,833.24 = 22,724.52 : x
  2. Step 2: Convert to fraction form
    81,888.83/122,833.24 = 22,724.52/x
  3. Step 3: Cross multiply
    81,888.83x = 122,833.24 × 22,724.52
  4. Step 4: Simplify right side
    81,888.83x = 2,791,326,419.04
  5. Step 5: Solve for x
    x = 2,791,326,419.04/81,888.83
  6. Step 6: Final answer
    x = 34,086.78

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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.