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Finding the Fourth Proportional to 81,559.56, 122,326.22 and 22,381.40

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Solution

The fourth proportional to 81,559.56, 122,326.22 and 22,381.40 is: 33,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,559.56 : 122,326.22 = 22,381.40 : x
  2. Step 2: Convert to fraction form
    81,559.56/122,326.22 = 22,381.40/x
  3. Step 3: Cross multiply
    81,559.56x = 122,326.22 × 22,381.40
  4. Step 4: Simplify right side
    81,559.56x = 2,737,832,060.31
  5. Step 5: Solve for x
    x = 2,737,832,060.31/81,559.56
  6. Step 6: Final answer
    x = 33,568.50

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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.