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Finding the Fourth Proportional to 54,775.68, 75,591.52 and 32,132

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Solution

The fourth proportional to 54,775.68, 75,591.52 and 32,132 is: 44,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,775.68 : 75,591.52 = 32,132 : x
  2. Step 2: Convert to fraction form
    54,775.68/75,591.52 = 32,132/x
  3. Step 3: Cross multiply
    54,775.68x = 75,591.52 × 32,132
  4. Step 4: Simplify right side
    54,775.68x = 2,428,906,720.64
  5. Step 5: Solve for x
    x = 2,428,906,720.64/54,775.68
  6. Step 6: Final answer
    x = 44,342.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.