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Finding the Fourth Proportional to 33,098.97, 49,653.90 and 10,913.67

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Solution

The fourth proportional to 33,098.97, 49,653.90 and 10,913.67 is: 16,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.97 : 49,653.90 = 10,913.67 : x
  2. Step 2: Convert to fraction form
    33,098.97/49,653.90 = 10,913.67/x
  3. Step 3: Cross multiply
    33,098.97x = 49,653.90 × 10,913.67
  4. Step 4: Simplify right side
    33,098.97x = 541,906,278.81
  5. Step 5: Solve for x
    x = 541,906,278.81/33,098.97
  6. Step 6: Final answer
    x = 16,372.30

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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.