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Finding the Fourth Proportional to 70,981.83, 106,472.22 and 21,057.78

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Solution

The fourth proportional to 70,981.83, 106,472.22 and 21,057.78 is: 31,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,981.83 : 106,472.22 = 21,057.78 : x
  2. Step 2: Convert to fraction form
    70,981.83/106,472.22 = 21,057.78/x
  3. Step 3: Cross multiply
    70,981.83x = 106,472.22 × 21,057.78
  4. Step 4: Simplify right side
    70,981.83x = 2,242,068,584.87
  5. Step 5: Solve for x
    x = 2,242,068,584.87/70,981.83
  6. Step 6: Final answer
    x = 31,586.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.