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Finding the Fourth Proportional to 31,891.32, 44,006.40 and 17,740.80

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Solution

The fourth proportional to 31,891.32, 44,006.40 and 17,740.80 is: 24,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.32 : 44,006.40 = 17,740.80 : x
  2. Step 2: Convert to fraction form
    31,891.32/44,006.40 = 17,740.80/x
  3. Step 3: Cross multiply
    31,891.32x = 44,006.40 × 17,740.80
  4. Step 4: Simplify right side
    31,891.32x = 780,708,741.12
  5. Step 5: Solve for x
    x = 780,708,741.12/31,891.32
  6. Step 6: Final answer
    x = 24,480.29

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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.