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Finding the Fourth Proportional to 83,267.93, 114,912.49 and 45,542.18

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Solution

The fourth proportional to 83,267.93, 114,912.49 and 45,542.18 is: 62,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,267.93 : 114,912.49 = 45,542.18 : x
  2. Step 2: Convert to fraction form
    83,267.93/114,912.49 = 45,542.18/x
  3. Step 3: Cross multiply
    83,267.93x = 114,912.49 × 45,542.18
  4. Step 4: Simplify right side
    83,267.93x = 5,233,365,562.65
  5. Step 5: Solve for x
    x = 5,233,365,562.65/83,267.93
  6. Step 6: Final answer
    x = 62,849.71

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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.