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Finding the Fourth Proportional to 54,841.38, 75,681.60 and 32,180.72

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Solution

The fourth proportional to 54,841.38, 75,681.60 and 32,180.72 is: 44,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841.38 : 75,681.60 = 32,180.72 : x
  2. Step 2: Convert to fraction form
    54,841.38/75,681.60 = 32,180.72/x
  3. Step 3: Cross multiply
    54,841.38x = 75,681.60 × 32,180.72
  4. Step 4: Simplify right side
    54,841.38x = 2,435,488,378.75
  5. Step 5: Solve for x
    x = 2,435,488,378.75/54,841.38
  6. Step 6: Final answer
    x = 44,409.68

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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.