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Finding the Fourth Proportional to 47,993.49, 71,996.31 and 16,409.61

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Solution

The fourth proportional to 47,993.49, 71,996.31 and 16,409.61 is: 24,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,993.49 : 71,996.31 = 16,409.61 : x
  2. Step 2: Convert to fraction form
    47,993.49/71,996.31 = 16,409.61/x
  3. Step 3: Cross multiply
    47,993.49x = 71,996.31 × 16,409.61
  4. Step 4: Simplify right side
    47,993.49x = 1,181,431,368.54
  5. Step 5: Solve for x
    x = 1,181,431,368.54/47,993.49
  6. Step 6: Final answer
    x = 24,616.49

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1.5x scale

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.