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Finding the Fourth Proportional to 31,074.58, 42,882.24 and 17,645.59

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Solution

The fourth proportional to 31,074.58, 42,882.24 and 17,645.59 is: 24,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.58 : 42,882.24 = 17,645.59 : x
  2. Step 2: Convert to fraction form
    31,074.58/42,882.24 = 17,645.59/x
  3. Step 3: Cross multiply
    31,074.58x = 42,882.24 × 17,645.59
  4. Step 4: Simplify right side
    31,074.58x = 756,682,425.32
  5. Step 5: Solve for x
    x = 756,682,425.32/31,074.58
  6. Step 6: Final answer
    x = 24,350.53

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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.