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Finding the Fourth Proportional to 51,523.70, 71,103.84 and 28,864.38

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Solution

The fourth proportional to 51,523.70, 71,103.84 and 28,864.38 is: 39,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523.70 : 71,103.84 = 28,864.38 : x
  2. Step 2: Convert to fraction form
    51,523.70/71,103.84 = 28,864.38/x
  3. Step 3: Cross multiply
    51,523.70x = 71,103.84 × 28,864.38
  4. Step 4: Simplify right side
    51,523.70x = 2,052,368,257.22
  5. Step 5: Solve for x
    x = 2,052,368,257.22/51,523.70
  6. Step 6: Final answer
    x = 39,833.48

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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.