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Finding the Fourth Proportional to 99,794.66, 149,674.98 and 33,227.24

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Solution

The fourth proportional to 99,794.66, 149,674.98 and 33,227.24 is: 49,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,794.66 : 149,674.98 = 33,227.24 : x
  2. Step 2: Convert to fraction form
    99,794.66/149,674.98 = 33,227.24/x
  3. Step 3: Cross multiply
    99,794.66x = 149,674.98 × 33,227.24
  4. Step 4: Simplify right side
    99,794.66x = 4,973,286,482.46
  5. Step 5: Solve for x
    x = 4,973,286,482.46/99,794.66
  6. Step 6: Final answer
    x = 49,835.20

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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.