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Finding the Fourth Proportional to 82,581.80, 114,010.17 and 54,369.50

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Solution

The fourth proportional to 82,581.80, 114,010.17 and 54,369.50 is: 75,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,581.80 : 114,010.17 = 54,369.50 : x
  2. Step 2: Convert to fraction form
    82,581.80/114,010.17 = 54,369.50/x
  3. Step 3: Cross multiply
    82,581.80x = 114,010.17 × 54,369.50
  4. Step 4: Simplify right side
    82,581.80x = 6,198,675,937.82
  5. Step 5: Solve for x
    x = 6,198,675,937.82/82,581.80
  6. Step 6: Final answer
    x = 75,061.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.