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Finding the Fourth Proportional to 31,874.70, 43,986.20 and 17,534.52

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Solution

The fourth proportional to 31,874.70, 43,986.20 and 17,534.52 is: 24,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.70 : 43,986.20 = 17,534.52 : x
  2. Step 2: Convert to fraction form
    31,874.70/43,986.20 = 17,534.52/x
  3. Step 3: Cross multiply
    31,874.70x = 43,986.20 × 17,534.52
  4. Step 4: Simplify right side
    31,874.70x = 771,276,903.62
  5. Step 5: Solve for x
    x = 771,276,903.62/31,874.70
  6. Step 6: Final answer
    x = 24,197.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.