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Finding the Fourth Proportional to 62,517.32, 86,275.94 and 34,223

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Solution

The fourth proportional to 62,517.32, 86,275.94 and 34,223 is: 47,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,517.32 : 86,275.94 = 34,223 : x
  2. Step 2: Convert to fraction form
    62,517.32/86,275.94 = 34,223/x
  3. Step 3: Cross multiply
    62,517.32x = 86,275.94 × 34,223
  4. Step 4: Simplify right side
    62,517.32x = 2,952,621,494.62
  5. Step 5: Solve for x
    x = 2,952,621,494.62/62,517.32
  6. Step 6: Final answer
    x = 47,228.86

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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.