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Finding the Fourth Proportional to 99,913.85, 149,857.10 and 33,352.46

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Solution

The fourth proportional to 99,913.85, 149,857.10 and 33,352.46 is: 50,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,913.85 : 149,857.10 = 33,352.46 : x
  2. Step 2: Convert to fraction form
    99,913.85/149,857.10 = 33,352.46/x
  3. Step 3: Cross multiply
    99,913.85x = 149,857.10 × 33,352.46
  4. Step 4: Simplify right side
    99,913.85x = 4,998,102,766.70
  5. Step 5: Solve for x
    x = 4,998,102,766.70/99,913.85
  6. Step 6: Final answer
    x = 50,024.12

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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.