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Finding the Fourth Proportional to 54,617.60, 75,327.36 and 32,240

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Solution

The fourth proportional to 54,617.60, 75,327.36 and 32,240 is: 44,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,617.60 : 75,327.36 = 32,240 : x
  2. Step 2: Convert to fraction form
    54,617.60/75,327.36 = 32,240/x
  3. Step 3: Cross multiply
    54,617.60x = 75,327.36 × 32,240
  4. Step 4: Simplify right side
    54,617.60x = 2,428,554,086.40
  5. Step 5: Solve for x
    x = 2,428,554,086.40/54,617.60
  6. Step 6: Final answer
    x = 44,464.68

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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.