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Finding the Fourth Proportional to 31,517.01, 47,275.52 and 8,141.63

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Solution

The fourth proportional to 31,517.01, 47,275.52 and 8,141.63 is: 12,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.01 : 47,275.52 = 8,141.63 : x
  2. Step 2: Convert to fraction form
    31,517.01/47,275.52 = 8,141.63/x
  3. Step 3: Cross multiply
    31,517.01x = 47,275.52 × 8,141.63
  4. Step 4: Simplify right side
    31,517.01x = 384,899,514.81
  5. Step 5: Solve for x
    x = 384,899,514.81/31,517.01
  6. Step 6: Final answer
    x = 12,212.44

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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.