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Finding the Fourth Proportional to 27,847.52, 41,721.02 and 18,465.32

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Solution

The fourth proportional to 27,847.52, 41,721.02 and 18,465.32 is: 27,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.52 : 41,721.02 = 18,465.32 : x
  2. Step 2: Convert to fraction form
    27,847.52/41,721.02 = 18,465.32/x
  3. Step 3: Cross multiply
    27,847.52x = 41,721.02 × 18,465.32
  4. Step 4: Simplify right side
    27,847.52x = 770,391,985.03
  5. Step 5: Solve for x
    x = 770,391,985.03/27,847.52
  6. Step 6: Final answer
    x = 27,664.65

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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.