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Finding the Fourth Proportional to 54,896.40, 75,758.52 and 31,022.52

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Solution

The fourth proportional to 54,896.40, 75,758.52 and 31,022.52 is: 42,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896.40 : 75,758.52 = 31,022.52 : x
  2. Step 2: Convert to fraction form
    54,896.40/75,758.52 = 31,022.52/x
  3. Step 3: Cross multiply
    54,896.40x = 75,758.52 × 31,022.52
  4. Step 4: Simplify right side
    54,896.40x = 2,350,220,201.87
  5. Step 5: Solve for x
    x = 2,350,220,201.87/54,896.40
  6. Step 6: Final answer
    x = 42,811.92

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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.