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Finding the Fourth Proportional to 31,625.70, 47,423.97 and 9,433.32

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Solution

The fourth proportional to 31,625.70, 47,423.97 and 9,433.32 is: 14,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625.70 : 47,423.97 = 9,433.32 : x
  2. Step 2: Convert to fraction form
    31,625.70/47,423.97 = 9,433.32/x
  3. Step 3: Cross multiply
    31,625.70x = 47,423.97 × 9,433.32
  4. Step 4: Simplify right side
    31,625.70x = 447,365,484.68
  5. Step 5: Solve for x
    x = 447,365,484.68/31,625.70
  6. Step 6: Final answer
    x = 14,145.63

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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.