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Finding the Fourth Proportional to 31,640.16, 47,449.44 and 12,917.28

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Solution

The fourth proportional to 31,640.16, 47,449.44 and 12,917.28 is: 19,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.16 : 47,449.44 = 12,917.28 : x
  2. Step 2: Convert to fraction form
    31,640.16/47,449.44 = 12,917.28/x
  3. Step 3: Cross multiply
    31,640.16x = 47,449.44 × 12,917.28
  4. Step 4: Simplify right side
    31,640.16x = 612,917,702.32
  5. Step 5: Solve for x
    x = 612,917,702.32/31,640.16
  6. Step 6: Final answer
    x = 19,371.51

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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.