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Finding the Fourth Proportional to 78,084.50, 117,174.92 and 30,691.26

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Solution

The fourth proportional to 78,084.50, 117,174.92 and 30,691.26 is: 46,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.50 : 117,174.92 = 30,691.26 : x
  2. Step 2: Convert to fraction form
    78,084.50/117,174.92 = 30,691.26/x
  3. Step 3: Cross multiply
    78,084.50x = 117,174.92 × 30,691.26
  4. Step 4: Simplify right side
    78,084.50x = 3,596,246,011.93
  5. Step 5: Solve for x
    x = 3,596,246,011.93/78,084.50
  6. Step 6: Final answer
    x = 46,055.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.