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Finding the Fourth Proportional to 31,758.16, 43,825.92 and 17,610.88

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Solution

The fourth proportional to 31,758.16, 43,825.92 and 17,610.88 is: 24,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.16 : 43,825.92 = 17,610.88 : x
  2. Step 2: Convert to fraction form
    31,758.16/43,825.92 = 17,610.88/x
  3. Step 3: Cross multiply
    31,758.16x = 43,825.92 × 17,610.88
  4. Step 4: Simplify right side
    31,758.16x = 771,813,018.01
  5. Step 5: Solve for x
    x = 771,813,018.01/31,758.16
  6. Step 6: Final answer
    x = 24,302.83

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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.