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Finding the Fourth Proportional to 31,210.34, 43,067 and 17,778.78

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Solution

The fourth proportional to 31,210.34, 43,067 and 17,778.78 is: 24,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.34 : 43,067 = 17,778.78 : x
  2. Step 2: Convert to fraction form
    31,210.34/43,067 = 17,778.78/x
  3. Step 3: Cross multiply
    31,210.34x = 43,067 × 17,778.78
  4. Step 4: Simplify right side
    31,210.34x = 765,678,718.26
  5. Step 5: Solve for x
    x = 765,678,718.26/31,210.34
  6. Step 6: Final answer
    x = 24,532.85

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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.