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Finding the Fourth Proportional to 83,182, 114,791.16 and 45,456.16

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Solution

The fourth proportional to 83,182, 114,791.16 and 45,456.16 is: 62,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,182 : 114,791.16 = 45,456.16 : x
  2. Step 2: Convert to fraction form
    83,182/114,791.16 = 45,456.16/x
  3. Step 3: Cross multiply
    83,182x = 114,791.16 × 45,456.16
  4. Step 4: Simplify right side
    83,182x = 5,217,965,335.55
  5. Step 5: Solve for x
    x = 5,217,965,335.55/83,182
  6. Step 6: Final answer
    x = 62,729.50

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