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Finding the Fourth Proportional to 31,073.80, 42,882 and 19,134.16

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Solution

The fourth proportional to 31,073.80, 42,882 and 19,134.16 is: 26,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.80 : 42,882 = 19,134.16 : x
  2. Step 2: Convert to fraction form
    31,073.80/42,882 = 19,134.16/x
  3. Step 3: Cross multiply
    31,073.80x = 42,882 × 19,134.16
  4. Step 4: Simplify right side
    31,073.80x = 820,511,049.12
  5. Step 5: Solve for x
    x = 820,511,049.12/31,073.80
  6. Step 6: Final answer
    x = 26,405.24

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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.