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Finding the Fourth Proportional to 81,494.38, 112,463.27 and 49,666.24

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Solution

The fourth proportional to 81,494.38, 112,463.27 and 49,666.24 is: 68,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,494.38 : 112,463.27 = 49,666.24 : x
  2. Step 2: Convert to fraction form
    81,494.38/112,463.27 = 49,666.24/x
  3. Step 3: Cross multiply
    81,494.38x = 112,463.27 × 49,666.24
  4. Step 4: Simplify right side
    81,494.38x = 5,585,627,510.67
  5. Step 5: Solve for x
    x = 5,585,627,510.67/81,494.38
  6. Step 6: Final answer
    x = 68,540.03

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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.