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Finding the Fourth Proportional to 54,863.92, 75,708.84 and 30,991.60

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Solution

The fourth proportional to 54,863.92, 75,708.84 and 30,991.60 is: 42,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863.92 : 75,708.84 = 30,991.60 : x
  2. Step 2: Convert to fraction form
    54,863.92/75,708.84 = 30,991.60/x
  3. Step 3: Cross multiply
    54,863.92x = 75,708.84 × 30,991.60
  4. Step 4: Simplify right side
    54,863.92x = 2,346,338,085.74
  5. Step 5: Solve for x
    x = 2,346,338,085.74/54,863.92
  6. Step 6: Final answer
    x = 42,766.50

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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.