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Finding the Fourth Proportional to 32,974.01, 49,460.57 and 8,013.99

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Solution

The fourth proportional to 32,974.01, 49,460.57 and 8,013.99 is: 12,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.01 : 49,460.57 = 8,013.99 : x
  2. Step 2: Convert to fraction form
    32,974.01/49,460.57 = 8,013.99/x
  3. Step 3: Cross multiply
    32,974.01x = 49,460.57 × 8,013.99
  4. Step 4: Simplify right side
    32,974.01x = 396,376,455.70
  5. Step 5: Solve for x
    x = 396,376,455.70/32,974.01
  6. Step 6: Final answer
    x = 12,020.87

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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.