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Finding the Fourth Proportional to 70,758.91, 106,099.93 and 35,142.09

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Solution

The fourth proportional to 70,758.91, 106,099.93 and 35,142.09 is: 52,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,758.91 : 106,099.93 = 35,142.09 : x
  2. Step 2: Convert to fraction form
    70,758.91/106,099.93 = 35,142.09/x
  3. Step 3: Cross multiply
    70,758.91x = 106,099.93 × 35,142.09
  4. Step 4: Simplify right side
    70,758.91x = 3,728,573,289.05
  5. Step 5: Solve for x
    x = 3,728,573,289.05/70,758.91
  6. Step 6: Final answer
    x = 52,694.05

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1.5x scale

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.