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Finding the Fourth Proportional to 27,667.49, 38,178.57 and 15,728.50

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Solution

The fourth proportional to 27,667.49, 38,178.57 and 15,728.50 is: 21,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.49 : 38,178.57 = 15,728.50 : x
  2. Step 2: Convert to fraction form
    27,667.49/38,178.57 = 15,728.50/x
  3. Step 3: Cross multiply
    27,667.49x = 38,178.57 × 15,728.50
  4. Step 4: Simplify right side
    27,667.49x = 600,491,638.25
  5. Step 5: Solve for x
    x = 600,491,638.25/27,667.49
  6. Step 6: Final answer
    x = 21,703.87

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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.