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Finding the Fourth Proportional to 83,532.26, 115,273.13 and 47,233.13

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Solution

The fourth proportional to 83,532.26, 115,273.13 and 47,233.13 is: 65,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,532.26 : 115,273.13 = 47,233.13 : x
  2. Step 2: Convert to fraction form
    83,532.26/115,273.13 = 47,233.13/x
  3. Step 3: Cross multiply
    83,532.26x = 115,273.13 × 47,233.13
  4. Step 4: Simplify right side
    83,532.26x = 5,444,709,922.27
  5. Step 5: Solve for x
    x = 5,444,709,922.27/83,532.26
  6. Step 6: Final answer
    x = 65,180.92

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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.