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Finding the Fourth Proportional to 31,781.34, 47,674.29 and 8,407.50

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Solution

The fourth proportional to 31,781.34, 47,674.29 and 8,407.50 is: 12,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.34 : 47,674.29 = 8,407.50 : x
  2. Step 2: Convert to fraction form
    31,781.34/47,674.29 = 8,407.50/x
  3. Step 3: Cross multiply
    31,781.34x = 47,674.29 × 8,407.50
  4. Step 4: Simplify right side
    31,781.34x = 400,821,593.18
  5. Step 5: Solve for x
    x = 400,821,593.18/31,781.34
  6. Step 6: Final answer
    x = 12,611.85

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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.