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Finding the Fourth Proportional to 47,391.40, 65,404 and 27,254.80

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Solution

The fourth proportional to 47,391.40, 65,404 and 27,254.80 is: 37,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,391.40 : 65,404 = 27,254.80 : x
  2. Step 2: Convert to fraction form
    47,391.40/65,404 = 27,254.80/x
  3. Step 3: Cross multiply
    47,391.40x = 65,404 × 27,254.80
  4. Step 4: Simplify right side
    47,391.40x = 1,782,572,939.20
  5. Step 5: Solve for x
    x = 1,782,572,939.20/47,391.40
  6. Step 6: Final answer
    x = 37,613.85

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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.