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Finding the Fourth Proportional to 82,496.16, 123,744.24 and 20,166.56

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Solution

The fourth proportional to 82,496.16, 123,744.24 and 20,166.56 is: 30,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496.16 : 123,744.24 = 20,166.56 : x
  2. Step 2: Convert to fraction form
    82,496.16/123,744.24 = 20,166.56/x
  3. Step 3: Cross multiply
    82,496.16x = 123,744.24 × 20,166.56
  4. Step 4: Simplify right side
    82,496.16x = 2,495,495,640.61
  5. Step 5: Solve for x
    x = 2,495,495,640.61/82,496.16
  6. Step 6: Final answer
    x = 30,249.84

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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.