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Finding the Fourth Proportional to 27,872.89, 41,771.66 and 15,374.18

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Solution

The fourth proportional to 27,872.89, 41,771.66 and 15,374.18 is: 23,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.89 : 41,771.66 = 15,374.18 : x
  2. Step 2: Convert to fraction form
    27,872.89/41,771.66 = 15,374.18/x
  3. Step 3: Cross multiply
    27,872.89x = 41,771.66 × 15,374.18
  4. Step 4: Simplify right side
    27,872.89x = 642,205,019.74
  5. Step 5: Solve for x
    x = 642,205,019.74/27,872.89
  6. Step 6: Final answer
    x = 23,040.49

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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.