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Finding the Fourth Proportional to 83,764.38, 115,595.10 and 47,954.66

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Solution

The fourth proportional to 83,764.38, 115,595.10 and 47,954.66 is: 66,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.38 : 115,595.10 = 47,954.66 : x
  2. Step 2: Convert to fraction form
    83,764.38/115,595.10 = 47,954.66/x
  3. Step 3: Cross multiply
    83,764.38x = 115,595.10 × 47,954.66
  4. Step 4: Simplify right side
    83,764.38x = 5,543,323,718.17
  5. Step 5: Solve for x
    x = 5,543,323,718.17/83,764.38
  6. Step 6: Final answer
    x = 66,177.58

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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.