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Finding the Fourth Proportional to 70,932.78, 106,361.73 and 31,472.70

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Solution

The fourth proportional to 70,932.78, 106,361.73 and 31,472.70 is: 47,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,932.78 : 106,361.73 = 31,472.70 : x
  2. Step 2: Convert to fraction form
    70,932.78/106,361.73 = 31,472.70/x
  3. Step 3: Cross multiply
    70,932.78x = 106,361.73 × 31,472.70
  4. Step 4: Simplify right side
    70,932.78x = 3,347,490,819.77
  5. Step 5: Solve for x
    x = 3,347,490,819.77/70,932.78
  6. Step 6: Final answer
    x = 47,192.44

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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.