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Finding the Fourth Proportional to 32,974.46, 49,461 and 8,014.65

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Solution

The fourth proportional to 32,974.46, 49,461 and 8,014.65 is: 12,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.46 : 49,461 = 8,014.65 : x
  2. Step 2: Convert to fraction form
    32,974.46/49,461 = 8,014.65/x
  3. Step 3: Cross multiply
    32,974.46x = 49,461 × 8,014.65
  4. Step 4: Simplify right side
    32,974.46x = 396,412,603.65
  5. Step 5: Solve for x
    x = 396,412,603.65/32,974.46
  6. Step 6: Final answer
    x = 12,021.81

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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.