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Finding the Fourth Proportional to 27,575.02, 41,361.99 and 9,107.02

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Solution

The fourth proportional to 27,575.02, 41,361.99 and 9,107.02 is: 13,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.02 : 41,361.99 = 9,107.02 : x
  2. Step 2: Convert to fraction form
    27,575.02/41,361.99 = 9,107.02/x
  3. Step 3: Cross multiply
    27,575.02x = 41,361.99 × 9,107.02
  4. Step 4: Simplify right side
    27,575.02x = 376,684,470.17
  5. Step 5: Solve for x
    x = 376,684,470.17/27,575.02
  6. Step 6: Final answer
    x = 13,660.35

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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.