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Finding the Fourth Proportional to 36,127.74, 49,840.47 and 27,729.66

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Solution

The fourth proportional to 36,127.74, 49,840.47 and 27,729.66 is: 38,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,127.74 : 49,840.47 = 27,729.66 : x
  2. Step 2: Convert to fraction form
    36,127.74/49,840.47 = 27,729.66/x
  3. Step 3: Cross multiply
    36,127.74x = 49,840.47 × 27,729.66
  4. Step 4: Simplify right side
    36,127.74x = 1,382,059,287.34
  5. Step 5: Solve for x
    x = 1,382,059,287.34/36,127.74
  6. Step 6: Final answer
    x = 38,254.79

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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.