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Finding the Fourth Proportional to 41,288.28, 61,932.42 and 16,647

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Solution

The fourth proportional to 41,288.28, 61,932.42 and 16,647 is: 24,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,288.28 : 61,932.42 = 16,647 : x
  2. Step 2: Convert to fraction form
    41,288.28/61,932.42 = 16,647/x
  3. Step 3: Cross multiply
    41,288.28x = 61,932.42 × 16,647
  4. Step 4: Simplify right side
    41,288.28x = 1,030,988,995.74
  5. Step 5: Solve for x
    x = 1,030,988,995.74/41,288.28
  6. Step 6: Final answer
    x = 24,970.50

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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.