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Finding the Fourth Proportional to 31,900.36, 44,022.18 and 17,752.96

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Solution

The fourth proportional to 31,900.36, 44,022.18 and 17,752.96 is: 24,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.36 : 44,022.18 = 17,752.96 : x
  2. Step 2: Convert to fraction form
    31,900.36/44,022.18 = 17,752.96/x
  3. Step 3: Cross multiply
    31,900.36x = 44,022.18 × 17,752.96
  4. Step 4: Simplify right side
    31,900.36x = 781,524,000.65
  5. Step 5: Solve for x
    x = 781,524,000.65/31,900.36
  6. Step 6: Final answer
    x = 24,498.91

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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.