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Finding the Fourth Proportional to 31,578.35, 43,578.04 and 17,431.10

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Solution

The fourth proportional to 31,578.35, 43,578.04 and 17,431.10 is: 24,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.35 : 43,578.04 = 17,431.10 : x
  2. Step 2: Convert to fraction form
    31,578.35/43,578.04 = 17,431.10/x
  3. Step 3: Cross multiply
    31,578.35x = 43,578.04 × 17,431.10
  4. Step 4: Simplify right side
    31,578.35x = 759,612,868.00
  5. Step 5: Solve for x
    x = 759,612,868.00/31,578.35
  6. Step 6: Final answer
    x = 24,054.86

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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.