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Finding the Fourth Proportional to 36,100.57, 54,160.08 and 13,908

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Solution

The fourth proportional to 36,100.57, 54,160.08 and 13,908 is: 20,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100.57 : 54,160.08 = 13,908 : x
  2. Step 2: Convert to fraction form
    36,100.57/54,160.08 = 13,908/x
  3. Step 3: Cross multiply
    36,100.57x = 54,160.08 × 13,908
  4. Step 4: Simplify right side
    36,100.57x = 753,258,392.64
  5. Step 5: Solve for x
    x = 753,258,392.64/36,100.57
  6. Step 6: Final answer
    x = 20,865.55

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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.