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Finding the Fourth Proportional to 31,105, 42,924.99 and 16,957.54

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Solution

The fourth proportional to 31,105, 42,924.99 and 16,957.54 is: 23,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105 : 42,924.99 = 16,957.54 : x
  2. Step 2: Convert to fraction form
    31,105/42,924.99 = 16,957.54/x
  3. Step 3: Cross multiply
    31,105x = 42,924.99 × 16,957.54
  4. Step 4: Simplify right side
    31,105x = 727,902,234.92
  5. Step 5: Solve for x
    x = 727,902,234.92/31,105
  6. Step 6: Final answer
    x = 23,401.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.