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Finding the Fourth Proportional to 51,556.86, 77,363.91 and 27,863.82

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Solution

The fourth proportional to 51,556.86, 77,363.91 and 27,863.82 is: 41,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,556.86 : 77,363.91 = 27,863.82 : x
  2. Step 2: Convert to fraction form
    51,556.86/77,363.91 = 27,863.82/x
  3. Step 3: Cross multiply
    51,556.86x = 77,363.91 × 27,863.82
  4. Step 4: Simplify right side
    51,556.86x = 2,155,654,062.74
  5. Step 5: Solve for x
    x = 2,155,654,062.74/51,556.86
  6. Step 6: Final answer
    x = 41,811.20

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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.