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Finding the Fourth Proportional to 27,552, 41,328 and 9,085.44

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Solution

The fourth proportional to 27,552, 41,328 and 9,085.44 is: 13,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552 : 41,328 = 9,085.44 : x
  2. Step 2: Convert to fraction form
    27,552/41,328 = 9,085.44/x
  3. Step 3: Cross multiply
    27,552x = 41,328 × 9,085.44
  4. Step 4: Simplify right side
    27,552x = 375,483,064.32
  5. Step 5: Solve for x
    x = 375,483,064.32/27,552
  6. Step 6: Final answer
    x = 13,628.16

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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.