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Finding the Fourth Proportional to 27,846.20, 38,371.20 and 25,877.84

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Solution

The fourth proportional to 27,846.20, 38,371.20 and 25,877.84 is: 35,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.20 : 38,371.20 = 25,877.84 : x
  2. Step 2: Convert to fraction form
    27,846.20/38,371.20 = 25,877.84/x
  3. Step 3: Cross multiply
    27,846.20x = 38,371.20 × 25,877.84
  4. Step 4: Simplify right side
    27,846.20x = 992,963,774.21
  5. Step 5: Solve for x
    x = 992,963,774.21/27,846.20
  6. Step 6: Final answer
    x = 35,658.86

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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.