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Finding the Fourth Proportional to 83,844.42, 115,728.04 and 49,419.21

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Solution

The fourth proportional to 83,844.42, 115,728.04 and 49,419.21 is: 68,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,844.42 : 115,728.04 = 49,419.21 : x
  2. Step 2: Convert to fraction form
    83,844.42/115,728.04 = 49,419.21/x
  3. Step 3: Cross multiply
    83,844.42x = 115,728.04 × 49,419.21
  4. Step 4: Simplify right side
    83,844.42x = 5,719,188,311.65
  5. Step 5: Solve for x
    x = 5,719,188,311.65/83,844.42
  6. Step 6: Final answer
    x = 68,211.91

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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.