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Finding the Fourth Proportional to 27,167.62, 40,747.06 and 7,441.57

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Solution

The fourth proportional to 27,167.62, 40,747.06 and 7,441.57 is: 11,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,167.62 : 40,747.06 = 7,441.57 : x
  2. Step 2: Convert to fraction form
    27,167.62/40,747.06 = 7,441.57/x
  3. Step 3: Cross multiply
    27,167.62x = 40,747.06 × 7,441.57
  4. Step 4: Simplify right side
    27,167.62x = 303,221,888.46
  5. Step 5: Solve for x
    x = 303,221,888.46/27,167.62
  6. Step 6: Final answer
    x = 11,161.15

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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.