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Finding the Fourth Proportional to 32,972.96, 49,458.73 and 8,013.12

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Solution

The fourth proportional to 32,972.96, 49,458.73 and 8,013.12 is: 12,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.96 : 49,458.73 = 8,013.12 : x
  2. Step 2: Convert to fraction form
    32,972.96/49,458.73 = 8,013.12/x
  3. Step 3: Cross multiply
    32,972.96x = 49,458.73 × 8,013.12
  4. Step 4: Simplify right side
    32,972.96x = 396,318,738.54
  5. Step 5: Solve for x
    x = 396,318,738.54/32,972.96
  6. Step 6: Final answer
    x = 12,019.51

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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.