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Finding the Fourth Proportional to 54,947.93, 75,823.03 and 31,074.53

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Solution

The fourth proportional to 54,947.93, 75,823.03 and 31,074.53 is: 42,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,947.93 : 75,823.03 = 31,074.53 : x
  2. Step 2: Convert to fraction form
    54,947.93/75,823.03 = 31,074.53/x
  3. Step 3: Cross multiply
    54,947.93x = 75,823.03 × 31,074.53
  4. Step 4: Simplify right side
    54,947.93x = 2,356,165,020.43
  5. Step 5: Solve for x
    x = 2,356,165,020.43/54,947.93
  6. Step 6: Final answer
    x = 42,879.96

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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.