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Finding the Fourth Proportional to 31,206.32, 43,083.78 and 20,314.78

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Solution

The fourth proportional to 31,206.32, 43,083.78 and 20,314.78 is: 28,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.32 : 43,083.78 = 20,314.78 : x
  2. Step 2: Convert to fraction form
    31,206.32/43,083.78 = 20,314.78/x
  3. Step 3: Cross multiply
    31,206.32x = 43,083.78 × 20,314.78
  4. Step 4: Simplify right side
    31,206.32x = 875,237,512.27
  5. Step 5: Solve for x
    x = 875,237,512.27/31,206.32
  6. Step 6: Final answer
    x = 28,046.80

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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.