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Finding the Fourth Proportional to 31,456.74, 47,193.21 and 9,269.22

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Solution

The fourth proportional to 31,456.74, 47,193.21 and 9,269.22 is: 13,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.74 : 47,193.21 = 9,269.22 : x
  2. Step 2: Convert to fraction form
    31,456.74/47,193.21 = 9,269.22/x
  3. Step 3: Cross multiply
    31,456.74x = 47,193.21 × 9,269.22
  4. Step 4: Simplify right side
    31,456.74x = 437,444,246.00
  5. Step 5: Solve for x
    x = 437,444,246.00/31,456.74
  6. Step 6: Final answer
    x = 13,906.22

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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.