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Finding the Fourth Proportional to 36,856, 55,292.64 and 12,232

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Solution

The fourth proportional to 36,856, 55,292.64 and 12,232 is: 18,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856 : 55,292.64 = 12,232 : x
  2. Step 2: Convert to fraction form
    36,856/55,292.64 = 12,232/x
  3. Step 3: Cross multiply
    36,856x = 55,292.64 × 12,232
  4. Step 4: Simplify right side
    36,856x = 676,339,572.48
  5. Step 5: Solve for x
    x = 676,339,572.48/36,856
  6. Step 6: Final answer
    x = 18,350.87

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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.