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Finding the Fourth Proportional to 31,677.99, 47,512.67 and 8,302.47

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Solution

The fourth proportional to 31,677.99, 47,512.67 and 8,302.47 is: 12,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.99 : 47,512.67 = 8,302.47 : x
  2. Step 2: Convert to fraction form
    31,677.99/47,512.67 = 8,302.47/x
  3. Step 3: Cross multiply
    31,677.99x = 47,512.67 × 8,302.47
  4. Step 4: Simplify right side
    31,677.99x = 394,472,475.78
  5. Step 5: Solve for x
    x = 394,472,475.78/31,677.99
  6. Step 6: Final answer
    x = 12,452.57

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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.