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Finding the Fourth Proportional to 47,382.57, 65,387.94 and 27,243.39

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Solution

The fourth proportional to 47,382.57, 65,387.94 and 27,243.39 is: 37,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.57 : 65,387.94 = 27,243.39 : x
  2. Step 2: Convert to fraction form
    47,382.57/65,387.94 = 27,243.39/x
  3. Step 3: Cross multiply
    47,382.57x = 65,387.94 × 27,243.39
  4. Step 4: Simplify right side
    47,382.57x = 1,781,389,150.72
  5. Step 5: Solve for x
    x = 1,781,389,150.72/47,382.57
  6. Step 6: Final answer
    x = 37,595.87

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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.