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Finding the Fourth Proportional to 99,800.16, 149,662.08 and 33,227.52

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Solution

The fourth proportional to 99,800.16, 149,662.08 and 33,227.52 is: 49,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,800.16 : 149,662.08 = 33,227.52 : x
  2. Step 2: Convert to fraction form
    99,800.16/149,662.08 = 33,227.52/x
  3. Step 3: Cross multiply
    99,800.16x = 149,662.08 × 33,227.52
  4. Step 4: Simplify right side
    99,800.16x = 4,972,899,756.44
  5. Step 5: Solve for x
    x = 4,972,899,756.44/99,800.16
  6. Step 6: Final answer
    x = 49,828.57

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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.