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Finding the Fourth Proportional to 81,472.46, 122,194.53 and 22,294.05

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Solution

The fourth proportional to 81,472.46, 122,194.53 and 22,294.05 is: 33,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472.46 : 122,194.53 = 22,294.05 : x
  2. Step 2: Convert to fraction form
    81,472.46/122,194.53 = 22,294.05/x
  3. Step 3: Cross multiply
    81,472.46x = 122,194.53 × 22,294.05
  4. Step 4: Simplify right side
    81,472.46x = 2,724,210,961.55
  5. Step 5: Solve for x
    x = 2,724,210,961.55/81,472.46
  6. Step 6: Final answer
    x = 33,437.20

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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.