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Finding the Fourth Proportional to 55,957.86, 77,227.29 and 41,786.10

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Solution

The fourth proportional to 55,957.86, 77,227.29 and 41,786.10 is: 57,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,957.86 : 77,227.29 = 41,786.10 : x
  2. Step 2: Convert to fraction form
    55,957.86/77,227.29 = 41,786.10/x
  3. Step 3: Cross multiply
    55,957.86x = 77,227.29 × 41,786.10
  4. Step 4: Simplify right side
    55,957.86x = 3,227,027,262.67
  5. Step 5: Solve for x
    x = 3,227,027,262.67/55,957.86
  6. Step 6: Final answer
    x = 57,668.88

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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.