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Finding the Fourth Proportional to 31,514.70, 44,251.80 and 31,514.70

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Solution

The fourth proportional to 31,514.70, 44,251.80 and 31,514.70 is: 44,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.70 : 44,251.80 = 31,514.70 : x
  2. Step 2: Convert to fraction form
    31,514.70/44,251.80 = 31,514.70/x
  3. Step 3: Cross multiply
    31,514.70x = 44,251.80 × 31,514.70
  4. Step 4: Simplify right side
    31,514.70x = 1,394,582,201.46
  5. Step 5: Solve for x
    x = 1,394,582,201.46/31,514.70
  6. Step 6: Final answer
    x = 44,251.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.