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Finding the Fourth Proportional to 81,888.33, 122,832.49 and 22,724.02

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Solution

The fourth proportional to 81,888.33, 122,832.49 and 22,724.02 is: 34,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,888.33 : 122,832.49 = 22,724.02 : x
  2. Step 2: Convert to fraction form
    81,888.33/122,832.49 = 22,724.02/x
  3. Step 3: Cross multiply
    81,888.33x = 122,832.49 × 22,724.02
  4. Step 4: Simplify right side
    81,888.33x = 2,791,247,959.41
  5. Step 5: Solve for x
    x = 2,791,247,959.41/81,888.33
  6. Step 6: Final answer
    x = 34,086.03

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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.