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Finding the Fourth Proportional to 83,542.33, 115,290.71 and 47,738.17

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Solution

The fourth proportional to 83,542.33, 115,290.71 and 47,738.17 is: 65,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.33 : 115,290.71 = 47,738.17 : x
  2. Step 2: Convert to fraction form
    83,542.33/115,290.71 = 47,738.17/x
  3. Step 3: Cross multiply
    83,542.33x = 115,290.71 × 47,738.17
  4. Step 4: Simplify right side
    83,542.33x = 5,503,767,513.40
  5. Step 5: Solve for x
    x = 5,503,767,513.40/83,542.33
  6. Step 6: Final answer
    x = 65,879.99

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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.