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Finding the Fourth Proportional to 33,683.50, 50,527.28 and 10,310.14

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Solution

The fourth proportional to 33,683.50, 50,527.28 and 10,310.14 is: 15,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,683.50 : 50,527.28 = 10,310.14 : x
  2. Step 2: Convert to fraction form
    33,683.50/50,527.28 = 10,310.14/x
  3. Step 3: Cross multiply
    33,683.50x = 50,527.28 × 10,310.14
  4. Step 4: Simplify right side
    33,683.50x = 520,943,330.62
  5. Step 5: Solve for x
    x = 520,943,330.62/33,683.50
  6. Step 6: Final answer
    x = 15,465.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.