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Finding the Fourth Proportional to 27,899.52, 41,849.36 and 6,839.66

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Solution

The fourth proportional to 27,899.52, 41,849.36 and 6,839.66 is: 10,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.52 : 41,849.36 = 6,839.66 : x
  2. Step 2: Convert to fraction form
    27,899.52/41,849.36 = 6,839.66/x
  3. Step 3: Cross multiply
    27,899.52x = 41,849.36 × 6,839.66
  4. Step 4: Simplify right side
    27,899.52x = 286,235,150.17
  5. Step 5: Solve for x
    x = 286,235,150.17/27,899.52
  6. Step 6: Final answer
    x = 10,259.50

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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.