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Finding the Fourth Proportional to 33,820.65, 50,729.76 and 10,447.11

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Solution

The fourth proportional to 33,820.65, 50,729.76 and 10,447.11 is: 15,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820.65 : 50,729.76 = 10,447.11 : x
  2. Step 2: Convert to fraction form
    33,820.65/50,729.76 = 10,447.11/x
  3. Step 3: Cross multiply
    33,820.65x = 50,729.76 × 10,447.11
  4. Step 4: Simplify right side
    33,820.65x = 529,979,382.99
  5. Step 5: Solve for x
    x = 529,979,382.99/33,820.65
  6. Step 6: Final answer
    x = 15,670.29

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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.