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Finding the Fourth Proportional to 70,882.94, 106,353.69 and 35,832.86

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Solution

The fourth proportional to 70,882.94, 106,353.69 and 35,832.86 is: 53,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.94 : 106,353.69 = 35,832.86 : x
  2. Step 2: Convert to fraction form
    70,882.94/106,353.69 = 35,832.86/x
  3. Step 3: Cross multiply
    70,882.94x = 106,353.69 × 35,832.86
  4. Step 4: Simplify right side
    70,882.94x = 3,810,956,884.25
  5. Step 5: Solve for x
    x = 3,810,956,884.25/70,882.94
  6. Step 6: Final answer
    x = 53,764.09

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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.