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Finding the Fourth Proportional to 31,432.28, 43,375.34 and 17,284.28

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Solution

The fourth proportional to 31,432.28, 43,375.34 and 17,284.28 is: 23,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.28 : 43,375.34 = 17,284.28 : x
  2. Step 2: Convert to fraction form
    31,432.28/43,375.34 = 17,284.28/x
  3. Step 3: Cross multiply
    31,432.28x = 43,375.34 × 17,284.28
  4. Step 4: Simplify right side
    31,432.28x = 749,711,521.66
  5. Step 5: Solve for x
    x = 749,711,521.66/31,432.28
  6. Step 6: Final answer
    x = 23,851.64

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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.