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Finding the Fourth Proportional to 32,975.14, 49,462.26 and 8,015.11

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Solution

The fourth proportional to 32,975.14, 49,462.26 and 8,015.11 is: 12,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.14 : 49,462.26 = 8,015.11 : x
  2. Step 2: Convert to fraction form
    32,975.14/49,462.26 = 8,015.11/x
  3. Step 3: Cross multiply
    32,975.14x = 49,462.26 × 8,015.11
  4. Step 4: Simplify right side
    32,975.14x = 396,445,624.35
  5. Step 5: Solve for x
    x = 396,445,624.35/32,975.14
  6. Step 6: Final answer
    x = 12,022.56

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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.