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Finding the Fourth Proportional to 99,976.68, 149,964.75 and 33,416.82

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Solution

The fourth proportional to 99,976.68, 149,964.75 and 33,416.82 is: 50,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,976.68 : 149,964.75 = 33,416.82 : x
  2. Step 2: Convert to fraction form
    99,976.68/149,964.75 = 33,416.82/x
  3. Step 3: Cross multiply
    99,976.68x = 149,964.75 × 33,416.82
  4. Step 4: Simplify right side
    99,976.68x = 5,011,345,057.10
  5. Step 5: Solve for x
    x = 5,011,345,057.10/99,976.68
  6. Step 6: Final answer
    x = 50,125.14

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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.