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Finding the Fourth Proportional to 36,099.57, 54,158.58 and 13,907

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Solution

The fourth proportional to 36,099.57, 54,158.58 and 13,907 is: 20,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,099.57 : 54,158.58 = 13,907 : x
  2. Step 2: Convert to fraction form
    36,099.57/54,158.58 = 13,907/x
  3. Step 3: Cross multiply
    36,099.57x = 54,158.58 × 13,907
  4. Step 4: Simplify right side
    36,099.57x = 753,183,372.06
  5. Step 5: Solve for x
    x = 753,183,372.06/36,099.57
  6. Step 6: Final answer
    x = 20,864.05

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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.