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Finding the Fourth Proportional to 47,377.38, 65,379.81 and 27,233.74

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Solution

The fourth proportional to 47,377.38, 65,379.81 and 27,233.74 is: 37,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,377.38 : 65,379.81 = 27,233.74 : x
  2. Step 2: Convert to fraction form
    47,377.38/65,379.81 = 27,233.74/x
  3. Step 3: Cross multiply
    47,377.38x = 65,379.81 × 27,233.74
  4. Step 4: Simplify right side
    47,377.38x = 1,780,536,610.62
  5. Step 5: Solve for x
    x = 1,780,536,610.62/47,377.38
  6. Step 6: Final answer
    x = 37,582.00

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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.