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Finding the Fourth Proportional to 31,432.78, 43,376.03 and 17,284.78

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Solution

The fourth proportional to 31,432.78, 43,376.03 and 17,284.78 is: 23,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.78 : 43,376.03 = 17,284.78 : x
  2. Step 2: Convert to fraction form
    31,432.78/43,376.03 = 17,284.78/x
  3. Step 3: Cross multiply
    31,432.78x = 43,376.03 × 17,284.78
  4. Step 4: Simplify right side
    31,432.78x = 749,745,135.82
  5. Step 5: Solve for x
    x = 749,745,135.82/31,432.78
  6. Step 6: Final answer
    x = 23,852.33

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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.