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Finding the Fourth Proportional to 54,641.40, 75,410.64 and 33,142.38

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Solution

The fourth proportional to 54,641.40, 75,410.64 and 33,142.38 is: 45,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641.40 : 75,410.64 = 33,142.38 : x
  2. Step 2: Convert to fraction form
    54,641.40/75,410.64 = 33,142.38/x
  3. Step 3: Cross multiply
    54,641.40x = 75,410.64 × 33,142.38
  4. Step 4: Simplify right side
    54,641.40x = 2,499,288,086.92
  5. Step 5: Solve for x
    x = 2,499,288,086.92/54,641.40
  6. Step 6: Final answer
    x = 45,739.83

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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.