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Finding the Fourth Proportional to 33,506.71, 50,260.10 and 10,133.17

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Solution

The fourth proportional to 33,506.71, 50,260.10 and 10,133.17 is: 15,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.71 : 50,260.10 = 10,133.17 : x
  2. Step 2: Convert to fraction form
    33,506.71/50,260.10 = 10,133.17/x
  3. Step 3: Cross multiply
    33,506.71x = 50,260.10 × 10,133.17
  4. Step 4: Simplify right side
    33,506.71x = 509,294,086.85
  5. Step 5: Solve for x
    x = 509,294,086.85/33,506.71
  6. Step 6: Final answer
    x = 15,199.76

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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.