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Finding the Fourth Proportional to 31,073.47, 42,879.90 and 17,642.96

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Solution

The fourth proportional to 31,073.47, 42,879.90 and 17,642.96 is: 24,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.47 : 42,879.90 = 17,642.96 : x
  2. Step 2: Convert to fraction form
    31,073.47/42,879.90 = 17,642.96/x
  3. Step 3: Cross multiply
    31,073.47x = 42,879.90 × 17,642.96
  4. Step 4: Simplify right side
    31,073.47x = 756,528,146.10
  5. Step 5: Solve for x
    x = 756,528,146.10/31,073.47
  6. Step 6: Final answer
    x = 24,346.43

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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.