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Finding the Fourth Proportional to 27,667, 41,501.58 and 11,035

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Solution

The fourth proportional to 27,667, 41,501.58 and 11,035 is: 16,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667 : 41,501.58 = 11,035 : x
  2. Step 2: Convert to fraction form
    27,667/41,501.58 = 11,035/x
  3. Step 3: Cross multiply
    27,667x = 41,501.58 × 11,035
  4. Step 4: Simplify right side
    27,667x = 457,969,935.30
  5. Step 5: Solve for x
    x = 457,969,935.30/27,667
  6. Step 6: Final answer
    x = 16,552.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.