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Finding the Fourth Proportional to 32,993.14, 49,480.04 and 9,299.12

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Solution

The fourth proportional to 32,993.14, 49,480.04 and 9,299.12 is: 13,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993.14 : 49,480.04 = 9,299.12 : x
  2. Step 2: Convert to fraction form
    32,993.14/49,480.04 = 9,299.12/x
  3. Step 3: Cross multiply
    32,993.14x = 49,480.04 × 9,299.12
  4. Step 4: Simplify right side
    32,993.14x = 460,120,829.56
  5. Step 5: Solve for x
    x = 460,120,829.56/32,993.14
  6. Step 6: Final answer
    x = 13,945.95

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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.