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Finding the Fourth Proportional to 31,837.13, 47,755.63 and 8,463.56

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Solution

The fourth proportional to 31,837.13, 47,755.63 and 8,463.56 is: 12,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.13 : 47,755.63 = 8,463.56 : x
  2. Step 2: Convert to fraction form
    31,837.13/47,755.63 = 8,463.56/x
  3. Step 3: Cross multiply
    31,837.13x = 47,755.63 × 8,463.56
  4. Step 4: Simplify right side
    31,837.13x = 404,182,838.39
  5. Step 5: Solve for x
    x = 404,182,838.39/31,837.13
  6. Step 6: Final answer
    x = 12,695.33

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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.