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Finding the Fourth Proportional to 31,408.75, 47,113.13 and 8,035.19

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Solution

The fourth proportional to 31,408.75, 47,113.13 and 8,035.19 is: 12,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.75 : 47,113.13 = 8,035.19 : x
  2. Step 2: Convert to fraction form
    31,408.75/47,113.13 = 8,035.19/x
  3. Step 3: Cross multiply
    31,408.75x = 47,113.13 × 8,035.19
  4. Step 4: Simplify right side
    31,408.75x = 378,562,951.04
  5. Step 5: Solve for x
    x = 378,562,951.04/31,408.75
  6. Step 6: Final answer
    x = 12,052.79

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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.