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Finding the Fourth Proportional to 36,843, 55,267.38 and 12,219

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Solution

The fourth proportional to 36,843, 55,267.38 and 12,219 is: 18,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843 : 55,267.38 = 12,219 : x
  2. Step 2: Convert to fraction form
    36,843/55,267.38 = 12,219/x
  3. Step 3: Cross multiply
    36,843x = 55,267.38 × 12,219
  4. Step 4: Simplify right side
    36,843x = 675,312,116.22
  5. Step 5: Solve for x
    x = 675,312,116.22/36,843
  6. Step 6: Final answer
    x = 18,329.46

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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.