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Finding the Fourth Proportional to 83,543.46, 115,279.30 and 47,735.79

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Solution

The fourth proportional to 83,543.46, 115,279.30 and 47,735.79 is: 65,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,543.46 : 115,279.30 = 47,735.79 : x
  2. Step 2: Convert to fraction form
    83,543.46/115,279.30 = 47,735.79/x
  3. Step 3: Cross multiply
    83,543.46x = 115,279.30 × 47,735.79
  4. Step 4: Simplify right side
    83,543.46x = 5,502,948,456.15
  5. Step 5: Solve for x
    x = 5,502,948,456.15/83,543.46
  6. Step 6: Final answer
    x = 65,869.29

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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.