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Finding the Fourth Proportional to 39,760.53, 54,811.62 and 27,786.66

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Solution

The fourth proportional to 39,760.53, 54,811.62 and 27,786.66 is: 38,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760.53 : 54,811.62 = 27,786.66 : x
  2. Step 2: Convert to fraction form
    39,760.53/54,811.62 = 27,786.66/x
  3. Step 3: Cross multiply
    39,760.53x = 54,811.62 × 27,786.66
  4. Step 4: Simplify right side
    39,760.53x = 1,523,031,848.99
  5. Step 5: Solve for x
    x = 1,523,031,848.99/39,760.53
  6. Step 6: Final answer
    x = 38,305.12

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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.