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Finding the Fourth Proportional to 27,081, 40,616.10 and 9,551.52

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Solution

The fourth proportional to 27,081, 40,616.10 and 9,551.52 is: 14,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,081 : 40,616.10 = 9,551.52 : x
  2. Step 2: Convert to fraction form
    27,081/40,616.10 = 9,551.52/x
  3. Step 3: Cross multiply
    27,081x = 40,616.10 × 9,551.52
  4. Step 4: Simplify right side
    27,081x = 387,945,491.47
  5. Step 5: Solve for x
    x = 387,945,491.47/27,081
  6. Step 6: Final answer
    x = 14,325.38

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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.