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Finding the Fourth Proportional to 99,663.40, 149,502.30 and 33,149.80

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Solution

The fourth proportional to 99,663.40, 149,502.30 and 33,149.80 is: 49,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,663.40 : 149,502.30 = 33,149.80 : x
  2. Step 2: Convert to fraction form
    99,663.40/149,502.30 = 33,149.80/x
  3. Step 3: Cross multiply
    99,663.40x = 149,502.30 × 33,149.80
  4. Step 4: Simplify right side
    99,663.40x = 4,955,971,344.54
  5. Step 5: Solve for x
    x = 4,955,971,344.54/99,663.40
  6. Step 6: Final answer
    x = 49,727.09

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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.