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Finding the Fourth Proportional to 31,406.20, 44,027 and 31,406.20

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Solution

The fourth proportional to 31,406.20, 44,027 and 31,406.20 is: 44,027

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.20 : 44,027 = 31,406.20 : x
  2. Step 2: Convert to fraction form
    31,406.20/44,027 = 31,406.20/x
  3. Step 3: Cross multiply
    31,406.20x = 44,027 × 31,406.20
  4. Step 4: Simplify right side
    31,406.20x = 1,382,720,767.40
  5. Step 5: Solve for x
    x = 1,382,720,767.40/31,406.20
  6. Step 6: Final answer
    x = 44,027

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.