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Finding the Fourth Proportional to 50,642.31, 75,959.82 and 22,182.15

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Solution

The fourth proportional to 50,642.31, 75,959.82 and 22,182.15 is: 33,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.31 : 75,959.82 = 22,182.15 : x
  2. Step 2: Convert to fraction form
    50,642.31/75,959.82 = 22,182.15/x
  3. Step 3: Cross multiply
    50,642.31x = 75,959.82 × 22,182.15
  4. Step 4: Simplify right side
    50,642.31x = 1,684,952,121.21
  5. Step 5: Solve for x
    x = 1,684,952,121.21/50,642.31
  6. Step 6: Final answer
    x = 33,271.63

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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.