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Finding the Fourth Proportional to 31,615.25, 47,425.32 and 11,893.37

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Solution

The fourth proportional to 31,615.25, 47,425.32 and 11,893.37 is: 17,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.25 : 47,425.32 = 11,893.37 : x
  2. Step 2: Convert to fraction form
    31,615.25/47,425.32 = 11,893.37/x
  3. Step 3: Cross multiply
    31,615.25x = 47,425.32 × 11,893.37
  4. Step 4: Simplify right side
    31,615.25x = 564,046,641.00
  5. Step 5: Solve for x
    x = 564,046,641.00/31,615.25
  6. Step 6: Final answer
    x = 17,840.97

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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.