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Finding the Fourth Proportional to 70,714.15, 106,105.79 and 33,277.98

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Solution

The fourth proportional to 70,714.15, 106,105.79 and 33,277.98 is: 49,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714.15 : 106,105.79 = 33,277.98 : x
  2. Step 2: Convert to fraction form
    70,714.15/106,105.79 = 33,277.98/x
  3. Step 3: Cross multiply
    70,714.15x = 106,105.79 × 33,277.98
  4. Step 4: Simplify right side
    70,714.15x = 3,530,986,357.50
  5. Step 5: Solve for x
    x = 3,530,986,357.50/70,714.15
  6. Step 6: Final answer
    x = 49,933.24

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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.