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Finding the Fourth Proportional to 29,697.31, 40,982.94 and 16,950.24

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Solution

The fourth proportional to 29,697.31, 40,982.94 and 16,950.24 is: 23,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.31 : 40,982.94 = 16,950.24 : x
  2. Step 2: Convert to fraction form
    29,697.31/40,982.94 = 16,950.24/x
  3. Step 3: Cross multiply
    29,697.31x = 40,982.94 × 16,950.24
  4. Step 4: Simplify right side
    29,697.31x = 694,670,668.91
  5. Step 5: Solve for x
    x = 694,670,668.91/29,697.31
  6. Step 6: Final answer
    x = 23,391.70

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1.5x scale

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.