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Finding the Fourth Proportional to 36,566, 54,849.32 and 8,864

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Solution

The fourth proportional to 36,566, 54,849.32 and 8,864 is: 13,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,566 : 54,849.32 = 8,864 : x
  2. Step 2: Convert to fraction form
    36,566/54,849.32 = 8,864/x
  3. Step 3: Cross multiply
    36,566x = 54,849.32 × 8,864
  4. Step 4: Simplify right side
    36,566x = 486,184,372.48
  5. Step 5: Solve for x
    x = 486,184,372.48/36,566
  6. Step 6: Final answer
    x = 13,296.08

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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.