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Finding the Fourth Proportional to 27,972.50, 41,948.76 and 9,249.08

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Solution

The fourth proportional to 27,972.50, 41,948.76 and 9,249.08 is: 13,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.50 : 41,948.76 = 9,249.08 : x
  2. Step 2: Convert to fraction form
    27,972.50/41,948.76 = 9,249.08/x
  3. Step 3: Cross multiply
    27,972.50x = 41,948.76 × 9,249.08
  4. Step 4: Simplify right side
    27,972.50x = 387,987,542.01
  5. Step 5: Solve for x
    x = 387,987,542.01/27,972.50
  6. Step 6: Final answer
    x = 13,870.32

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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.