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Finding the Fourth Proportional to 41,425.84, 57,149.47 and 27,992.20

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Solution

The fourth proportional to 41,425.84, 57,149.47 and 27,992.20 is: 38,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,425.84 : 57,149.47 = 27,992.20 : x
  2. Step 2: Convert to fraction form
    41,425.84/57,149.47 = 27,992.20/x
  3. Step 3: Cross multiply
    41,425.84x = 57,149.47 × 27,992.20
  4. Step 4: Simplify right side
    41,425.84x = 1,599,739,038.41
  5. Step 5: Solve for x
    x = 1,599,739,038.41/41,425.84
  6. Step 6: Final answer
    x = 38,616.94

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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.