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Finding the Fourth Proportional to 27,492.24, 41,218.16 and 8,761.50

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Solution

The fourth proportional to 27,492.24, 41,218.16 and 8,761.50 is: 13,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.24 : 41,218.16 = 8,761.50 : x
  2. Step 2: Convert to fraction form
    27,492.24/41,218.16 = 8,761.50/x
  3. Step 3: Cross multiply
    27,492.24x = 41,218.16 × 8,761.50
  4. Step 4: Simplify right side
    27,492.24x = 361,132,702.75
  5. Step 5: Solve for x
    x = 361,132,702.75/27,492.24
  6. Step 6: Final answer
    x = 13,135.81

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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.