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Finding the Fourth Proportional to 47,534.85, 65,608.92 and 27,403.38

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Solution

The fourth proportional to 47,534.85, 65,608.92 and 27,403.38 is: 37,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534.85 : 65,608.92 = 27,403.38 : x
  2. Step 2: Convert to fraction form
    47,534.85/65,608.92 = 27,403.38/x
  3. Step 3: Cross multiply
    47,534.85x = 65,608.92 × 27,403.38
  4. Step 4: Simplify right side
    47,534.85x = 1,797,906,166.15
  5. Step 5: Solve for x
    x = 1,797,906,166.15/47,534.85
  6. Step 6: Final answer
    x = 37,822.91

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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.