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Finding the Fourth Proportional to 78,202.92, 117,292.50 and 25,611.24

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Solution

The fourth proportional to 78,202.92, 117,292.50 and 25,611.24 is: 38,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.92 : 117,292.50 = 25,611.24 : x
  2. Step 2: Convert to fraction form
    78,202.92/117,292.50 = 25,611.24/x
  3. Step 3: Cross multiply
    78,202.92x = 117,292.50 × 25,611.24
  4. Step 4: Simplify right side
    78,202.92x = 3,004,006,367.70
  5. Step 5: Solve for x
    x = 3,004,006,367.70/78,202.92
  6. Step 6: Final answer
    x = 38,412.97

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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.