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Finding the Fourth Proportional to 55,717.66, 76,843.60 and 36,582.78

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Solution

The fourth proportional to 55,717.66, 76,843.60 and 36,582.78 is: 50,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,717.66 : 76,843.60 = 36,582.78 : x
  2. Step 2: Convert to fraction form
    55,717.66/76,843.60 = 36,582.78/x
  3. Step 3: Cross multiply
    55,717.66x = 76,843.60 × 36,582.78
  4. Step 4: Simplify right side
    55,717.66x = 2,811,152,221.05
  5. Step 5: Solve for x
    x = 2,811,152,221.05/55,717.66
  6. Step 6: Final answer
    x = 50,453.52

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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.