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Finding the Fourth Proportional to 29,743.50, 41,044.11 and 16,311.90

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Solution

The fourth proportional to 29,743.50, 41,044.11 and 16,311.90 is: 22,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.50 : 41,044.11 = 16,311.90 : x
  2. Step 2: Convert to fraction form
    29,743.50/41,044.11 = 16,311.90/x
  3. Step 3: Cross multiply
    29,743.50x = 41,044.11 × 16,311.90
  4. Step 4: Simplify right side
    29,743.50x = 669,507,417.91
  5. Step 5: Solve for x
    x = 669,507,417.91/29,743.50
  6. Step 6: Final answer
    x = 22,509.37

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Why These Related Problems?

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