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Finding the Fourth Proportional to 31,900.16, 44,021.31 and 17,752.70

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Solution

The fourth proportional to 31,900.16, 44,021.31 and 17,752.70 is: 24,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.16 : 44,021.31 = 17,752.70 : x
  2. Step 2: Convert to fraction form
    31,900.16/44,021.31 = 17,752.70/x
  3. Step 3: Cross multiply
    31,900.16x = 44,021.31 × 17,752.70
  4. Step 4: Simplify right side
    31,900.16x = 781,497,153.52
  5. Step 5: Solve for x
    x = 781,497,153.52/31,900.16
  6. Step 6: Final answer
    x = 24,498.22

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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.