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Finding the Fourth Proportional to 72,046.48, 107,995.82 and 27,661.28

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Solution

The fourth proportional to 72,046.48, 107,995.82 and 27,661.28 is: 41,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,046.48 : 107,995.82 = 27,661.28 : x
  2. Step 2: Convert to fraction form
    72,046.48/107,995.82 = 27,661.28/x
  3. Step 3: Cross multiply
    72,046.48x = 107,995.82 × 27,661.28
  4. Step 4: Simplify right side
    72,046.48x = 2,987,302,615.85
  5. Step 5: Solve for x
    x = 2,987,302,615.85/72,046.48
  6. Step 6: Final answer
    x = 41,463.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.