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Finding the Fourth Proportional to 31,891.68, 44,012.70 and 17,744.76

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Solution

The fourth proportional to 31,891.68, 44,012.70 and 17,744.76 is: 24,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.68 : 44,012.70 = 17,744.76 : x
  2. Step 2: Convert to fraction form
    31,891.68/44,012.70 = 17,744.76/x
  3. Step 3: Cross multiply
    31,891.68x = 44,012.70 × 17,744.76
  4. Step 4: Simplify right side
    31,891.68x = 780,994,798.45
  5. Step 5: Solve for x
    x = 780,994,798.45/31,891.68
  6. Step 6: Final answer
    x = 24,488.98

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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.