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Finding the Fourth Proportional to 36,829, 55,243.50 and 12,205

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Solution

The fourth proportional to 36,829, 55,243.50 and 12,205 is: 18,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,829 : 55,243.50 = 12,205 : x
  2. Step 2: Convert to fraction form
    36,829/55,243.50 = 12,205/x
  3. Step 3: Cross multiply
    36,829x = 55,243.50 × 12,205
  4. Step 4: Simplify right side
    36,829x = 674,246,917.50
  5. Step 5: Solve for x
    x = 674,246,917.50/36,829
  6. Step 6: Final answer
    x = 18,307.50

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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.