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Finding the Fourth Proportional to 83,516.62, 115,098.33 and 59,318.65

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Solution

The fourth proportional to 83,516.62, 115,098.33 and 59,318.65 is: 81,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,516.62 : 115,098.33 = 59,318.65 : x
  2. Step 2: Convert to fraction form
    83,516.62/115,098.33 = 59,318.65/x
  3. Step 3: Cross multiply
    83,516.62x = 115,098.33 × 59,318.65
  4. Step 4: Simplify right side
    83,516.62x = 6,827,477,552.85
  5. Step 5: Solve for x
    x = 6,827,477,552.85/83,516.62
  6. Step 6: Final answer
    x = 81,749.93

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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.