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Finding the Fourth Proportional to 47,197.52, 65,122.12 and 27,314

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Solution

The fourth proportional to 47,197.52, 65,122.12 and 27,314 is: 37,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197.52 : 65,122.12 = 27,314 : x
  2. Step 2: Convert to fraction form
    47,197.52/65,122.12 = 27,314/x
  3. Step 3: Cross multiply
    47,197.52x = 65,122.12 × 27,314
  4. Step 4: Simplify right side
    47,197.52x = 1,778,745,585.68
  5. Step 5: Solve for x
    x = 1,778,745,585.68/47,197.52
  6. Step 6: Final answer
    x = 37,687.27

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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.