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Finding the Fourth Proportional to 33,689.92, 50,535 and 10,316.26

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Solution

The fourth proportional to 33,689.92, 50,535 and 10,316.26 is: 15,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.92 : 50,535 = 10,316.26 : x
  2. Step 2: Convert to fraction form
    33,689.92/50,535 = 10,316.26/x
  3. Step 3: Cross multiply
    33,689.92x = 50,535 × 10,316.26
  4. Step 4: Simplify right side
    33,689.92x = 521,332,199.10
  5. Step 5: Solve for x
    x = 521,332,199.10/33,689.92
  6. Step 6: Final answer
    x = 15,474.43

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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.