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Finding the Fourth Proportional to 31,189.74, 43,042.01 and 17,578.00

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Solution

The fourth proportional to 31,189.74, 43,042.01 and 17,578.00 is: 24,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.74 : 43,042.01 = 17,578.00 : x
  2. Step 2: Convert to fraction form
    31,189.74/43,042.01 = 17,578.00/x
  3. Step 3: Cross multiply
    31,189.74x = 43,042.01 × 17,578.00
  4. Step 4: Simplify right side
    31,189.74x = 756,592,394.13
  5. Step 5: Solve for x
    x = 756,592,394.13/31,189.74
  6. Step 6: Final answer
    x = 24,257.73

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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.