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Finding the Fourth Proportional to 52,199.68, 78,283.04 and 17,131.20

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Solution

The fourth proportional to 52,199.68, 78,283.04 and 17,131.20 is: 25,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,199.68 : 78,283.04 = 17,131.20 : x
  2. Step 2: Convert to fraction form
    52,199.68/78,283.04 = 17,131.20/x
  3. Step 3: Cross multiply
    52,199.68x = 78,283.04 × 17,131.20
  4. Step 4: Simplify right side
    52,199.68x = 1,341,082,414.85
  5. Step 5: Solve for x
    x = 1,341,082,414.85/52,199.68
  6. Step 6: Final answer
    x = 25,691.39

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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.