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Finding the Fourth Proportional to 54,534.52, 75,232.37 and 31,874.47

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Solution

The fourth proportional to 54,534.52, 75,232.37 and 31,874.47 is: 43,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,534.52 : 75,232.37 = 31,874.47 : x
  2. Step 2: Convert to fraction form
    54,534.52/75,232.37 = 31,874.47/x
  3. Step 3: Cross multiply
    54,534.52x = 75,232.37 × 31,874.47
  4. Step 4: Simplify right side
    54,534.52x = 2,397,991,544.43
  5. Step 5: Solve for x
    x = 2,397,991,544.43/54,534.52
  6. Step 6: Final answer
    x = 43,972.00

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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.