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Finding the Fourth Proportional to 70,843.58, 106,331.08 and 35,807.84

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Solution

The fourth proportional to 70,843.58, 106,331.08 and 35,807.84 is: 53,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,843.58 : 106,331.08 = 35,807.84 : x
  2. Step 2: Convert to fraction form
    70,843.58/106,331.08 = 35,807.84/x
  3. Step 3: Cross multiply
    70,843.58x = 106,331.08 × 35,807.84
  4. Step 4: Simplify right side
    70,843.58x = 3,807,486,299.67
  5. Step 5: Solve for x
    x = 3,807,486,299.67/70,843.58
  6. Step 6: Final answer
    x = 53,744.97

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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.