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Finding the Fourth Proportional to 29,846.70, 41,189.52 and 16,419

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Solution

The fourth proportional to 29,846.70, 41,189.52 and 16,419 is: 22,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.70 : 41,189.52 = 16,419 : x
  2. Step 2: Convert to fraction form
    29,846.70/41,189.52 = 16,419/x
  3. Step 3: Cross multiply
    29,846.70x = 41,189.52 × 16,419
  4. Step 4: Simplify right side
    29,846.70x = 676,290,728.88
  5. Step 5: Solve for x
    x = 676,290,728.88/29,846.70
  6. Step 6: Final answer
    x = 22,658.81

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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.