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Finding the Fourth Proportional to 99,673.50, 149,535.48 and 33,114

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Solution

The fourth proportional to 99,673.50, 149,535.48 and 33,114 is: 49,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,673.50 : 149,535.48 = 33,114 : x
  2. Step 2: Convert to fraction form
    99,673.50/149,535.48 = 33,114/x
  3. Step 3: Cross multiply
    99,673.50x = 149,535.48 × 33,114
  4. Step 4: Simplify right side
    99,673.50x = 4,951,717,884.72
  5. Step 5: Solve for x
    x = 4,951,717,884.72/99,673.50
  6. Step 6: Final answer
    x = 49,679.38

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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.