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Finding the Fourth Proportional to 99,984.38, 149,982.03 and 29,869.16

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Solution

The fourth proportional to 99,984.38, 149,982.03 and 29,869.16 is: 44,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,984.38 : 149,982.03 = 29,869.16 : x
  2. Step 2: Convert to fraction form
    99,984.38/149,982.03 = 29,869.16/x
  3. Step 3: Cross multiply
    99,984.38x = 149,982.03 × 29,869.16
  4. Step 4: Simplify right side
    99,984.38x = 4,479,836,501.28
  5. Step 5: Solve for x
    x = 4,479,836,501.28/99,984.38
  6. Step 6: Final answer
    x = 44,805.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.