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Finding the Fourth Proportional to 99,950.46, 149,874.75 and 33,366.66

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Solution

The fourth proportional to 99,950.46, 149,874.75 and 33,366.66 is: 50,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,950.46 : 149,874.75 = 33,366.66 : x
  2. Step 2: Convert to fraction form
    99,950.46/149,874.75 = 33,366.66/x
  3. Step 3: Cross multiply
    99,950.46x = 149,874.75 × 33,366.66
  4. Step 4: Simplify right side
    99,950.46x = 5,000,819,825.84
  5. Step 5: Solve for x
    x = 5,000,819,825.84/99,950.46
  6. Step 6: Final answer
    x = 50,032.98

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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.