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Finding the Fourth Proportional to 54,693.72, 75,478.32 and 32,049

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Solution

The fourth proportional to 54,693.72, 75,478.32 and 32,049 is: 44,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693.72 : 75,478.32 = 32,049 : x
  2. Step 2: Convert to fraction form
    54,693.72/75,478.32 = 32,049/x
  3. Step 3: Cross multiply
    54,693.72x = 75,478.32 × 32,049
  4. Step 4: Simplify right side
    54,693.72x = 2,419,004,677.68
  5. Step 5: Solve for x
    x = 2,419,004,677.68/54,693.72
  6. Step 6: Final answer
    x = 44,228.20

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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.