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Finding the Fourth Proportional to 31,378.30, 43,340.65 and 23,455.90

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Solution

The fourth proportional to 31,378.30, 43,340.65 and 23,455.90 is: 32,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.30 : 43,340.65 = 23,455.90 : x
  2. Step 2: Convert to fraction form
    31,378.30/43,340.65 = 23,455.90/x
  3. Step 3: Cross multiply
    31,378.30x = 43,340.65 × 23,455.90
  4. Step 4: Simplify right side
    31,378.30x = 1,016,593,952.34
  5. Step 5: Solve for x
    x = 1,016,593,952.34/31,378.30
  6. Step 6: Final answer
    x = 32,397.99

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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.