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Finding the Fourth Proportional to 99,342.50, 149,021.06 and 29,224.85

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Solution

The fourth proportional to 99,342.50, 149,021.06 and 29,224.85 is: 43,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,342.50 : 149,021.06 = 29,224.85 : x
  2. Step 2: Convert to fraction form
    99,342.50/149,021.06 = 29,224.85/x
  3. Step 3: Cross multiply
    99,342.50x = 149,021.06 × 29,224.85
  4. Step 4: Simplify right side
    99,342.50x = 4,355,117,234.11
  5. Step 5: Solve for x
    x = 4,355,117,234.11/99,342.50
  6. Step 6: Final answer
    x = 43,839.42

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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.