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Finding the Fourth Proportional to 70,865.60, 106,309.86 and 20,950.70

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Solution

The fourth proportional to 70,865.60, 106,309.86 and 20,950.70 is: 31,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,865.60 : 106,309.86 = 20,950.70 : x
  2. Step 2: Convert to fraction form
    70,865.60/106,309.86 = 20,950.70/x
  3. Step 3: Cross multiply
    70,865.60x = 106,309.86 × 20,950.70
  4. Step 4: Simplify right side
    70,865.60x = 2,227,265,983.90
  5. Step 5: Solve for x
    x = 2,227,265,983.90/70,865.60
  6. Step 6: Final answer
    x = 31,429.44

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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.