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Finding the Fourth Proportional to 33,218.14, 49,818.72 and 9,839.11

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Solution

The fourth proportional to 33,218.14, 49,818.72 and 9,839.11 is: 14,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218.14 : 49,818.72 = 9,839.11 : x
  2. Step 2: Convert to fraction form
    33,218.14/49,818.72 = 9,839.11/x
  3. Step 3: Cross multiply
    33,218.14x = 49,818.72 × 9,839.11
  4. Step 4: Simplify right side
    33,218.14x = 490,171,866.14
  5. Step 5: Solve for x
    x = 490,171,866.14/33,218.14
  6. Step 6: Final answer
    x = 14,756.15

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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.