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Finding the Fourth Proportional to 31,669.80, 47,507.42 and 8,296.24

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Solution

The fourth proportional to 31,669.80, 47,507.42 and 8,296.24 is: 12,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669.80 : 47,507.42 = 8,296.24 : x
  2. Step 2: Convert to fraction form
    31,669.80/47,507.42 = 8,296.24/x
  3. Step 3: Cross multiply
    31,669.80x = 47,507.42 × 8,296.24
  4. Step 4: Simplify right side
    31,669.80x = 394,132,958.10
  5. Step 5: Solve for x
    x = 394,132,958.10/31,669.80
  6. Step 6: Final answer
    x = 12,445.07

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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.