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Finding the Fourth Proportional to 31,794, 47,669.94 and 15,156.60

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Solution

The fourth proportional to 31,794, 47,669.94 and 15,156.60 is: 22,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794 : 47,669.94 = 15,156.60 : x
  2. Step 2: Convert to fraction form
    31,794/47,669.94 = 15,156.60/x
  3. Step 3: Cross multiply
    31,794x = 47,669.94 × 15,156.60
  4. Step 4: Simplify right side
    31,794x = 722,514,212.60
  5. Step 5: Solve for x
    x = 722,514,212.60/31,794
  6. Step 6: Final answer
    x = 22,724.86

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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.