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Finding the Fourth Proportional to 33,151.92, 49,728.42 and 31,469.64

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Solution

The fourth proportional to 33,151.92, 49,728.42 and 31,469.64 is: 47,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,151.92 : 49,728.42 = 31,469.64 : x
  2. Step 2: Convert to fraction form
    33,151.92/49,728.42 = 31,469.64/x
  3. Step 3: Cross multiply
    33,151.92x = 49,728.42 × 31,469.64
  4. Step 4: Simplify right side
    33,151.92x = 1,564,935,475.17
  5. Step 5: Solve for x
    x = 1,564,935,475.17/33,151.92
  6. Step 6: Final answer
    x = 47,204.97

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1.5x scale

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.