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Finding the Fourth Proportional to 99,808.84, 149,711.32 and 33,253.84

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Solution

The fourth proportional to 99,808.84, 149,711.32 and 33,253.84 is: 49,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808.84 : 149,711.32 = 33,253.84 : x
  2. Step 2: Convert to fraction form
    99,808.84/149,711.32 = 33,253.84/x
  3. Step 3: Cross multiply
    99,808.84x = 149,711.32 × 33,253.84
  4. Step 4: Simplify right side
    99,808.84x = 4,978,476,281.47
  5. Step 5: Solve for x
    x = 4,978,476,281.47/99,808.84
  6. Step 6: Final answer
    x = 49,880.11

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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.