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Finding the Fourth Proportional to 33,149.12, 49,722.06 and 12,371

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Solution

The fourth proportional to 33,149.12, 49,722.06 and 12,371 is: 18,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.12 : 49,722.06 = 12,371 : x
  2. Step 2: Convert to fraction form
    33,149.12/49,722.06 = 12,371/x
  3. Step 3: Cross multiply
    33,149.12x = 49,722.06 × 12,371
  4. Step 4: Simplify right side
    33,149.12x = 615,111,604.26
  5. Step 5: Solve for x
    x = 615,111,604.26/33,149.12
  6. Step 6: Final answer
    x = 18,555.90

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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.