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Finding the Fourth Proportional to 99,493.78, 149,204.83 and 32,921.62

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Solution

The fourth proportional to 99,493.78, 149,204.83 and 32,921.62 is: 49,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,493.78 : 149,204.83 = 32,921.62 : x
  2. Step 2: Convert to fraction form
    99,493.78/149,204.83 = 32,921.62/x
  3. Step 3: Cross multiply
    99,493.78x = 149,204.83 × 32,921.62
  4. Step 4: Simplify right side
    99,493.78x = 4,912,064,715.42
  5. Step 5: Solve for x
    x = 4,912,064,715.42/99,493.78
  6. Step 6: Final answer
    x = 49,370.57

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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.