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Finding the Fourth Proportional to 38,209.40, 57,314.10 and 36,022.40

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Solution

The fourth proportional to 38,209.40, 57,314.10 and 36,022.40 is: 54,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.40 : 57,314.10 = 36,022.40 : x
  2. Step 2: Convert to fraction form
    38,209.40/57,314.10 = 36,022.40/x
  3. Step 3: Cross multiply
    38,209.40x = 57,314.10 × 36,022.40
  4. Step 4: Simplify right side
    38,209.40x = 2,064,591,435.84
  5. Step 5: Solve for x
    x = 2,064,591,435.84/38,209.40
  6. Step 6: Final answer
    x = 54,033.60

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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.