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Finding the Fourth Proportional to 31,447, 47,170.49 and 8,073.43

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Solution

The fourth proportional to 31,447, 47,170.49 and 8,073.43 is: 12,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447 : 47,170.49 = 8,073.43 : x
  2. Step 2: Convert to fraction form
    31,447/47,170.49 = 8,073.43/x
  3. Step 3: Cross multiply
    31,447x = 47,170.49 × 8,073.43
  4. Step 4: Simplify right side
    31,447x = 380,827,649.08
  5. Step 5: Solve for x
    x = 380,827,649.08/31,447
  6. Step 6: Final answer
    x = 12,110.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.