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Finding the Fourth Proportional to 29,563.65, 44,362.49 and 16,414.92

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Solution

The fourth proportional to 29,563.65, 44,362.49 and 16,414.92 is: 24,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,563.65 : 44,362.49 = 16,414.92 : x
  2. Step 2: Convert to fraction form
    29,563.65/44,362.49 = 16,414.92/x
  3. Step 3: Cross multiply
    29,563.65x = 44,362.49 × 16,414.92
  4. Step 4: Simplify right side
    29,563.65x = 728,206,642.28
  5. Step 5: Solve for x
    x = 728,206,642.28/29,563.65
  6. Step 6: Final answer
    x = 24,631.82

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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.