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Finding the Fourth Proportional to 99,704.64, 149,500.89 and 33,109.14

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Solution

The fourth proportional to 99,704.64, 149,500.89 and 33,109.14 is: 49,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,704.64 : 149,500.89 = 33,109.14 : x
  2. Step 2: Convert to fraction form
    99,704.64/149,500.89 = 33,109.14/x
  3. Step 3: Cross multiply
    99,704.64x = 149,500.89 × 33,109.14
  4. Step 4: Simplify right side
    99,704.64x = 4,949,845,897.13
  5. Step 5: Solve for x
    x = 4,949,845,897.13/99,704.64
  6. Step 6: Final answer
    x = 49,645.09

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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.