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Finding the Fourth Proportional to 33,902.81, 50,854.22 and 13,126.31

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Solution

The fourth proportional to 33,902.81, 50,854.22 and 13,126.31 is: 19,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.81 : 50,854.22 = 13,126.31 : x
  2. Step 2: Convert to fraction form
    33,902.81/50,854.22 = 13,126.31/x
  3. Step 3: Cross multiply
    33,902.81x = 50,854.22 × 13,126.31
  4. Step 4: Simplify right side
    33,902.81x = 667,528,416.48
  5. Step 5: Solve for x
    x = 667,528,416.48/33,902.81
  6. Step 6: Final answer
    x = 19,689.47

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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.