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Finding the Fourth Proportional to 50,442.87, 75,664.10 and 15,382.43

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Solution

The fourth proportional to 50,442.87, 75,664.10 and 15,382.43 is: 23,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442.87 : 75,664.10 = 15,382.43 : x
  2. Step 2: Convert to fraction form
    50,442.87/75,664.10 = 15,382.43/x
  3. Step 3: Cross multiply
    50,442.87x = 75,664.10 × 15,382.43
  4. Step 4: Simplify right side
    50,442.87x = 1,163,897,343.44
  5. Step 5: Solve for x
    x = 1,163,897,343.44/50,442.87
  6. Step 6: Final answer
    x = 23,073.57

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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.