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Finding the Fourth Proportional to 36,549, 54,823.77 and 8,847

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Solution

The fourth proportional to 36,549, 54,823.77 and 8,847 is: 13,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,549 : 54,823.77 = 8,847 : x
  2. Step 2: Convert to fraction form
    36,549/54,823.77 = 8,847/x
  3. Step 3: Cross multiply
    36,549x = 54,823.77 × 8,847
  4. Step 4: Simplify right side
    36,549x = 485,025,893.19
  5. Step 5: Solve for x
    x = 485,025,893.19/36,549
  6. Step 6: Final answer
    x = 13,270.57

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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.