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Finding the Fourth Proportional to 31,378.61, 43,387.74 and 30,871.65

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Solution

The fourth proportional to 31,378.61, 43,387.74 and 30,871.65 is: 42,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.61 : 43,387.74 = 30,871.65 : x
  2. Step 2: Convert to fraction form
    31,378.61/43,387.74 = 30,871.65/x
  3. Step 3: Cross multiply
    31,378.61x = 43,387.74 × 30,871.65
  4. Step 4: Simplify right side
    31,378.61x = 1,339,451,123.57
  5. Step 5: Solve for x
    x = 1,339,451,123.57/31,378.61
  6. Step 6: Final answer
    x = 42,686.76

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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.