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Finding the Fourth Proportional to 99,794.50, 149,715.66 and 33,235.20

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Solution

The fourth proportional to 99,794.50, 149,715.66 and 33,235.20 is: 49,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,794.50 : 149,715.66 = 33,235.20 : x
  2. Step 2: Convert to fraction form
    99,794.50/149,715.66 = 33,235.20/x
  3. Step 3: Cross multiply
    99,794.50x = 149,715.66 × 33,235.20
  4. Step 4: Simplify right side
    99,794.50x = 4,975,829,903.23
  5. Step 5: Solve for x
    x = 4,975,829,903.23/99,794.50
  6. Step 6: Final answer
    x = 49,860.76

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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.