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Finding the Fourth Proportional to 27,891.87, 38,376.56 and 24,102.89

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Solution

The fourth proportional to 27,891.87, 38,376.56 and 24,102.89 is: 33,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.87 : 38,376.56 = 24,102.89 : x
  2. Step 2: Convert to fraction form
    27,891.87/38,376.56 = 24,102.89/x
  3. Step 3: Cross multiply
    27,891.87x = 38,376.56 × 24,102.89
  4. Step 4: Simplify right side
    27,891.87x = 924,986,004.26
  5. Step 5: Solve for x
    x = 924,986,004.26/27,891.87
  6. Step 6: Final answer
    x = 33,163.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.