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Finding the Fourth Proportional to 78,097.44, 117,142.40 and 25,500

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Solution

The fourth proportional to 78,097.44, 117,142.40 and 25,500 is: 38,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,097.44 : 117,142.40 = 25,500 : x
  2. Step 2: Convert to fraction form
    78,097.44/117,142.40 = 25,500/x
  3. Step 3: Cross multiply
    78,097.44x = 117,142.40 × 25,500
  4. Step 4: Simplify right side
    78,097.44x = 2,987,131,200
  5. Step 5: Solve for x
    x = 2,987,131,200/78,097.44
  6. Step 6: Final answer
    x = 38,248.77

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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.