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Finding the Fourth Proportional to 54,462.35, 75,176.43 and 34,352.75

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Solution

The fourth proportional to 54,462.35, 75,176.43 and 34,352.75 is: 47,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462.35 : 75,176.43 = 34,352.75 : x
  2. Step 2: Convert to fraction form
    54,462.35/75,176.43 = 34,352.75/x
  3. Step 3: Cross multiply
    54,462.35x = 75,176.43 × 34,352.75
  4. Step 4: Simplify right side
    54,462.35x = 2,582,517,105.68
  5. Step 5: Solve for x
    x = 2,582,517,105.68/54,462.35
  6. Step 6: Final answer
    x = 47,418.39

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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.