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Finding the Fourth Proportional to 47,310.38, 65,291.55 and 27,438.38

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Solution

The fourth proportional to 47,310.38, 65,291.55 and 27,438.38 is: 37,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,310.38 : 65,291.55 = 27,438.38 : x
  2. Step 2: Convert to fraction form
    47,310.38/65,291.55 = 27,438.38/x
  3. Step 3: Cross multiply
    47,310.38x = 65,291.55 × 27,438.38
  4. Step 4: Simplify right side
    47,310.38x = 1,791,494,359.69
  5. Step 5: Solve for x
    x = 1,791,494,359.69/47,310.38
  6. Step 6: Final answer
    x = 37,866.84

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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.