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Finding the Fourth Proportional to 27,685.83, 41,535.35 and 8,965.89

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Solution

The fourth proportional to 27,685.83, 41,535.35 and 8,965.89 is: 13,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.83 : 41,535.35 = 8,965.89 : x
  2. Step 2: Convert to fraction form
    27,685.83/41,535.35 = 8,965.89/x
  3. Step 3: Cross multiply
    27,685.83x = 41,535.35 × 8,965.89
  4. Step 4: Simplify right side
    27,685.83x = 372,401,126.71
  5. Step 5: Solve for x
    x = 372,401,126.71/27,685.83
  6. Step 6: Final answer
    x = 13,450.97

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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.