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Finding the Fourth Proportional to 36,616.16, 54,923.21 and 11,657.70

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Solution

The fourth proportional to 36,616.16, 54,923.21 and 11,657.70 is: 17,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,616.16 : 54,923.21 = 11,657.70 : x
  2. Step 2: Convert to fraction form
    36,616.16/54,923.21 = 11,657.70/x
  3. Step 3: Cross multiply
    36,616.16x = 54,923.21 × 11,657.70
  4. Step 4: Simplify right side
    36,616.16x = 640,278,246.93
  5. Step 5: Solve for x
    x = 640,278,246.93/36,616.16
  6. Step 6: Final answer
    x = 17,486.22

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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.