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Finding the Fourth Proportional to 27,758.88, 41,642.24 and 9,032.90

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Solution

The fourth proportional to 27,758.88, 41,642.24 and 9,032.90 is: 13,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.88 : 41,642.24 = 9,032.90 : x
  2. Step 2: Convert to fraction form
    27,758.88/41,642.24 = 9,032.90/x
  3. Step 3: Cross multiply
    27,758.88x = 41,642.24 × 9,032.90
  4. Step 4: Simplify right side
    27,758.88x = 376,149,936.32
  5. Step 5: Solve for x
    x = 376,149,936.32/27,758.88
  6. Step 6: Final answer
    x = 13,550.62

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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.