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Finding the Fourth Proportional to 31,682.88, 47,524.32 and 8,309.28

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Solution

The fourth proportional to 31,682.88, 47,524.32 and 8,309.28 is: 12,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.88 : 47,524.32 = 8,309.28 : x
  2. Step 2: Convert to fraction form
    31,682.88/47,524.32 = 8,309.28/x
  3. Step 3: Cross multiply
    31,682.88x = 47,524.32 × 8,309.28
  4. Step 4: Simplify right side
    31,682.88x = 394,892,881.69
  5. Step 5: Solve for x
    x = 394,892,881.69/31,682.88
  6. Step 6: Final answer
    x = 12,463.92

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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.