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Finding the Fourth Proportional to 70,965.87, 106,354.23 and 33,535.88

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Solution

The fourth proportional to 70,965.87, 106,354.23 and 33,535.88 is: 50,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965.87 : 106,354.23 = 33,535.88 : x
  2. Step 2: Convert to fraction form
    70,965.87/106,354.23 = 33,535.88/x
  3. Step 3: Cross multiply
    70,965.87x = 106,354.23 × 33,535.88
  4. Step 4: Simplify right side
    70,965.87x = 3,566,682,820.53
  5. Step 5: Solve for x
    x = 3,566,682,820.53/70,965.87
  6. Step 6: Final answer
    x = 50,259.13

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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.