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Finding the Fourth Proportional to 47,755.18, 65,898.29 and 27,613.36

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Solution

The fourth proportional to 47,755.18, 65,898.29 and 27,613.36 is: 38,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.18 : 65,898.29 = 27,613.36 : x
  2. Step 2: Convert to fraction form
    47,755.18/65,898.29 = 27,613.36/x
  3. Step 3: Cross multiply
    47,755.18x = 65,898.29 × 27,613.36
  4. Step 4: Simplify right side
    47,755.18x = 1,819,673,067.09
  5. Step 5: Solve for x
    x = 1,819,673,067.09/47,755.18
  6. Step 6: Final answer
    x = 38,104.21

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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.