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Finding the Fourth Proportional to 80,666.40, 120,983.40 and 38,546.40

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Solution

The fourth proportional to 80,666.40, 120,983.40 and 38,546.40 is: 57,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,666.40 : 120,983.40 = 38,546.40 : x
  2. Step 2: Convert to fraction form
    80,666.40/120,983.40 = 38,546.40/x
  3. Step 3: Cross multiply
    80,666.40x = 120,983.40 × 38,546.40
  4. Step 4: Simplify right side
    80,666.40x = 4,663,474,529.76
  5. Step 5: Solve for x
    x = 4,663,474,529.76/80,666.40
  6. Step 6: Final answer
    x = 57,811.86

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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.