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Finding the Fourth Proportional to 31,982.49, 47,951.28 and 14,203.53

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Solution

The fourth proportional to 31,982.49, 47,951.28 and 14,203.53 is: 21,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982.49 : 47,951.28 = 14,203.53 : x
  2. Step 2: Convert to fraction form
    31,982.49/47,951.28 = 14,203.53/x
  3. Step 3: Cross multiply
    31,982.49x = 47,951.28 × 14,203.53
  4. Step 4: Simplify right side
    31,982.49x = 681,077,444.02
  5. Step 5: Solve for x
    x = 681,077,444.02/31,982.49
  6. Step 6: Final answer
    x = 21,295.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.