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Finding the Fourth Proportional to 70,676.46, 106,019.84 and 26,303.20

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Solution

The fourth proportional to 70,676.46, 106,019.84 and 26,303.20 is: 39,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.46 : 106,019.84 = 26,303.20 : x
  2. Step 2: Convert to fraction form
    70,676.46/106,019.84 = 26,303.20/x
  3. Step 3: Cross multiply
    70,676.46x = 106,019.84 × 26,303.20
  4. Step 4: Simplify right side
    70,676.46x = 2,788,660,856.20
  5. Step 5: Solve for x
    x = 2,788,660,856.20/70,676.46
  6. Step 6: Final answer
    x = 39,456.71

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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.