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Finding the Fourth Proportional to 99,919.50, 149,823.62 and 33,323.28

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Solution

The fourth proportional to 99,919.50, 149,823.62 and 33,323.28 is: 49,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,919.50 : 149,823.62 = 33,323.28 : x
  2. Step 2: Convert to fraction form
    99,919.50/149,823.62 = 33,323.28/x
  3. Step 3: Cross multiply
    99,919.50x = 149,823.62 × 33,323.28
  4. Step 4: Simplify right side
    99,919.50x = 4,992,614,439.87
  5. Step 5: Solve for x
    x = 4,992,614,439.87/99,919.50
  6. Step 6: Final answer
    x = 49,966.37

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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.