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Finding the Fourth Proportional to 99,913.10, 149,855.97 and 33,351.71

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Solution

The fourth proportional to 99,913.10, 149,855.97 and 33,351.71 is: 50,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,913.10 : 149,855.97 = 33,351.71 : x
  2. Step 2: Convert to fraction form
    99,913.10/149,855.97 = 33,351.71/x
  3. Step 3: Cross multiply
    99,913.10x = 149,855.97 × 33,351.71
  4. Step 4: Simplify right side
    99,913.10x = 4,997,952,853.21
  5. Step 5: Solve for x
    x = 4,997,952,853.21/99,913.10
  6. Step 6: Final answer
    x = 50,023.00

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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.