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Finding the Fourth Proportional to 99,881.46, 149,832.72 and 33,298.38

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Solution

The fourth proportional to 99,881.46, 149,832.72 and 33,298.38 is: 49,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,881.46 : 149,832.72 = 33,298.38 : x
  2. Step 2: Convert to fraction form
    99,881.46/149,832.72 = 33,298.38/x
  3. Step 3: Cross multiply
    99,881.46x = 149,832.72 × 33,298.38
  4. Step 4: Simplify right side
    99,881.46x = 4,989,186,846.99
  5. Step 5: Solve for x
    x = 4,989,186,846.99/99,881.46
  6. Step 6: Final answer
    x = 49,951.08

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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.