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Finding the Fourth Proportional to 70,846.63, 106,286.34 and 24,099.50

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Solution

The fourth proportional to 70,846.63, 106,286.34 and 24,099.50 is: 36,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,846.63 : 106,286.34 = 24,099.50 : x
  2. Step 2: Convert to fraction form
    70,846.63/106,286.34 = 24,099.50/x
  3. Step 3: Cross multiply
    70,846.63x = 106,286.34 × 24,099.50
  4. Step 4: Simplify right side
    70,846.63x = 2,561,447,650.83
  5. Step 5: Solve for x
    x = 2,561,447,650.83/70,846.63
  6. Step 6: Final answer
    x = 36,154.83

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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.