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Finding the Fourth Proportional to 31,743.50, 47,616.39 and 12,023.51

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Solution

The fourth proportional to 31,743.50, 47,616.39 and 12,023.51 is: 18,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,743.50 : 47,616.39 = 12,023.51 : x
  2. Step 2: Convert to fraction form
    31,743.50/47,616.39 = 12,023.51/x
  3. Step 3: Cross multiply
    31,743.50x = 47,616.39 × 12,023.51
  4. Step 4: Simplify right side
    31,743.50x = 572,515,903.25
  5. Step 5: Solve for x
    x = 572,515,903.25/31,743.50
  6. Step 6: Final answer
    x = 18,035.69

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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.