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Finding the Fourth Proportional to 27,839.48, 41,760.32 and 7,063.52

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Solution

The fourth proportional to 27,839.48, 41,760.32 and 7,063.52 is: 10,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,839.48 : 41,760.32 = 7,063.52 : x
  2. Step 2: Convert to fraction form
    27,839.48/41,760.32 = 7,063.52/x
  3. Step 3: Cross multiply
    27,839.48x = 41,760.32 × 7,063.52
  4. Step 4: Simplify right side
    27,839.48x = 294,974,855.53
  5. Step 5: Solve for x
    x = 294,974,855.53/27,839.48
  6. Step 6: Final answer
    x = 10,595.56

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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.