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Finding the Fourth Proportional to 50,691.30, 75,891.15 and 31,008.30

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Solution

The fourth proportional to 50,691.30, 75,891.15 and 31,008.30 is: 46,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,691.30 : 75,891.15 = 31,008.30 : x
  2. Step 2: Convert to fraction form
    50,691.30/75,891.15 = 31,008.30/x
  3. Step 3: Cross multiply
    50,691.30x = 75,891.15 × 31,008.30
  4. Step 4: Simplify right side
    50,691.30x = 2,353,255,546.55
  5. Step 5: Solve for x
    x = 2,353,255,546.55/50,691.30
  6. Step 6: Final answer
    x = 46,423.26

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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.