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Finding the Fourth Proportional to 78,120.29, 117,186.50 and 25,535.09

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Solution

The fourth proportional to 78,120.29, 117,186.50 and 25,535.09 is: 38,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,120.29 : 117,186.50 = 25,535.09 : x
  2. Step 2: Convert to fraction form
    78,120.29/117,186.50 = 25,535.09/x
  3. Step 3: Cross multiply
    78,120.29x = 117,186.50 × 25,535.09
  4. Step 4: Simplify right side
    78,120.29x = 2,992,367,110.68
  5. Step 5: Solve for x
    x = 2,992,367,110.68/78,120.29
  6. Step 6: Final answer
    x = 38,304.61

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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.