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Finding the Fourth Proportional to 81,048.38, 111,859.72 and 47,514.38

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Solution

The fourth proportional to 81,048.38, 111,859.72 and 47,514.38 is: 65,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,048.38 : 111,859.72 = 47,514.38 : x
  2. Step 2: Convert to fraction form
    81,048.38/111,859.72 = 47,514.38/x
  3. Step 3: Cross multiply
    81,048.38x = 111,859.72 × 47,514.38
  4. Step 4: Simplify right side
    81,048.38x = 5,314,944,564.69
  5. Step 5: Solve for x
    x = 5,314,944,564.69/81,048.38
  6. Step 6: Final answer
    x = 65,577.44

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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.