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Finding the Fourth Proportional to 80,676.20, 120,870.30 and 39,031.40

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Solution

The fourth proportional to 80,676.20, 120,870.30 and 39,031.40 is: 58,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,676.20 : 120,870.30 = 39,031.40 : x
  2. Step 2: Convert to fraction form
    80,676.20/120,870.30 = 39,031.40/x
  3. Step 3: Cross multiply
    80,676.20x = 120,870.30 × 39,031.40
  4. Step 4: Simplify right side
    80,676.20x = 4,717,737,027.42
  5. Step 5: Solve for x
    x = 4,717,737,027.42/80,676.20
  6. Step 6: Final answer
    x = 58,477.43

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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.