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Finding the Fourth Proportional to 33,564, 50,346.32 and 10,190.45

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Solution

The fourth proportional to 33,564, 50,346.32 and 10,190.45 is: 15,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564 : 50,346.32 = 10,190.45 : x
  2. Step 2: Convert to fraction form
    33,564/50,346.32 = 10,190.45/x
  3. Step 3: Cross multiply
    33,564x = 50,346.32 × 10,190.45
  4. Step 4: Simplify right side
    33,564x = 513,051,353.96
  5. Step 5: Solve for x
    x = 513,051,353.96/33,564
  6. Step 6: Final answer
    x = 15,285.76

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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.