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Finding the Fourth Proportional to 31,604.85, 47,409.99 and 8,231.25

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Solution

The fourth proportional to 31,604.85, 47,409.99 and 8,231.25 is: 12,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.85 : 47,409.99 = 8,231.25 : x
  2. Step 2: Convert to fraction form
    31,604.85/47,409.99 = 8,231.25/x
  3. Step 3: Cross multiply
    31,604.85x = 47,409.99 × 8,231.25
  4. Step 4: Simplify right side
    31,604.85x = 390,243,480.19
  5. Step 5: Solve for x
    x = 390,243,480.19/31,604.85
  6. Step 6: Final answer
    x = 12,347.58

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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.