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Finding the Fourth Proportional to 36,956.80, 55,419 and 10,660.96

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Solution

The fourth proportional to 36,956.80, 55,419 and 10,660.96 is: 15,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956.80 : 55,419 = 10,660.96 : x
  2. Step 2: Convert to fraction form
    36,956.80/55,419 = 10,660.96/x
  3. Step 3: Cross multiply
    36,956.80x = 55,419 × 10,660.96
  4. Step 4: Simplify right side
    36,956.80x = 590,819,742.24
  5. Step 5: Solve for x
    x = 590,819,742.24/36,956.80
  6. Step 6: Final answer
    x = 15,986.77

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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.