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Finding the Fourth Proportional to 50,593.19, 75,882.65 and 31,815.98

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Solution

The fourth proportional to 50,593.19, 75,882.65 and 31,815.98 is: 47,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,593.19 : 75,882.65 = 31,815.98 : x
  2. Step 2: Convert to fraction form
    50,593.19/75,882.65 = 31,815.98/x
  3. Step 3: Cross multiply
    50,593.19x = 75,882.65 × 31,815.98
  4. Step 4: Simplify right side
    50,593.19x = 2,414,280,336.25
  5. Step 5: Solve for x
    x = 2,414,280,336.25/50,593.19
  6. Step 6: Final answer
    x = 47,719.48

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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.