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Finding the Fourth Proportional to 83,490.42, 115,221.48 and 49,519.02

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Solution

The fourth proportional to 83,490.42, 115,221.48 and 49,519.02 is: 68,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490.42 : 115,221.48 = 49,519.02 : x
  2. Step 2: Convert to fraction form
    83,490.42/115,221.48 = 49,519.02/x
  3. Step 3: Cross multiply
    83,490.42x = 115,221.48 × 49,519.02
  4. Step 4: Simplify right side
    83,490.42x = 5,705,654,772.55
  5. Step 5: Solve for x
    x = 5,705,654,772.55/83,490.42
  6. Step 6: Final answer
    x = 68,339.04

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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.