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Finding the Fourth Proportional to 31,891.17, 44,012.48 and 17,746.68

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Solution

The fourth proportional to 31,891.17, 44,012.48 and 17,746.68 is: 24,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.17 : 44,012.48 = 17,746.68 : x
  2. Step 2: Convert to fraction form
    31,891.17/44,012.48 = 17,746.68/x
  3. Step 3: Cross multiply
    31,891.17x = 44,012.48 × 17,746.68
  4. Step 4: Simplify right side
    31,891.17x = 781,075,309.83
  5. Step 5: Solve for x
    x = 781,075,309.83/31,891.17
  6. Step 6: Final answer
    x = 24,491.90

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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.