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Finding the Fourth Proportional to 70,944.48, 106,453.98 and 31,529.88

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Solution

The fourth proportional to 70,944.48, 106,453.98 and 31,529.88 is: 47,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944.48 : 106,453.98 = 31,529.88 : x
  2. Step 2: Convert to fraction form
    70,944.48/106,453.98 = 31,529.88/x
  3. Step 3: Cross multiply
    70,944.48x = 106,453.98 × 31,529.88
  4. Step 4: Simplify right side
    70,944.48x = 3,356,481,214.92
  5. Step 5: Solve for x
    x = 3,356,481,214.92/70,944.48
  6. Step 6: Final answer
    x = 47,311.38

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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.