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Finding the Fourth Proportional to 31,774.26, 47,661.38 and 8,400.68

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Solution

The fourth proportional to 31,774.26, 47,661.38 and 8,400.68 is: 12,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.26 : 47,661.38 = 8,400.68 : x
  2. Step 2: Convert to fraction form
    31,774.26/47,661.38 = 8,400.68/x
  3. Step 3: Cross multiply
    31,774.26x = 47,661.38 × 8,400.68
  4. Step 4: Simplify right side
    31,774.26x = 400,388,001.74
  5. Step 5: Solve for x
    x = 400,388,001.74/31,774.26
  6. Step 6: Final answer
    x = 12,601.02

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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.