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Finding the Fourth Proportional to 27,858.48, 41,787.80 and 7,081.98

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Solution

The fourth proportional to 27,858.48, 41,787.80 and 7,081.98 is: 10,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.48 : 41,787.80 = 7,081.98 : x
  2. Step 2: Convert to fraction form
    27,858.48/41,787.80 = 7,081.98/x
  3. Step 3: Cross multiply
    27,858.48x = 41,787.80 × 7,081.98
  4. Step 4: Simplify right side
    27,858.48x = 295,940,363.84
  5. Step 5: Solve for x
    x = 295,940,363.84/27,858.48
  6. Step 6: Final answer
    x = 10,622.99

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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.