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Finding the Fourth Proportional to 31,753.97, 47,630.98 and 8,063.29

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Solution

The fourth proportional to 31,753.97, 47,630.98 and 8,063.29 is: 12,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.97 : 47,630.98 = 8,063.29 : x
  2. Step 2: Convert to fraction form
    31,753.97/47,630.98 = 8,063.29/x
  3. Step 3: Cross multiply
    31,753.97x = 47,630.98 × 8,063.29
  4. Step 4: Simplify right side
    31,753.97x = 384,062,428.99
  5. Step 5: Solve for x
    x = 384,062,428.99/31,753.97
  6. Step 6: Final answer
    x = 12,094.94

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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.