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Finding the Fourth Proportional to 47,209.53, 65,147.21 and 27,052.38

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Solution

The fourth proportional to 47,209.53, 65,147.21 and 27,052.38 is: 37,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,209.53 : 65,147.21 = 27,052.38 : x
  2. Step 2: Convert to fraction form
    47,209.53/65,147.21 = 27,052.38/x
  3. Step 3: Cross multiply
    47,209.53x = 65,147.21 × 27,052.38
  4. Step 4: Simplify right side
    47,209.53x = 1,762,386,945.60
  5. Step 5: Solve for x
    x = 1,762,386,945.60/47,209.53
  6. Step 6: Final answer
    x = 37,331.17

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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.