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Finding the Fourth Proportional to 33,563.64, 50,346.58 and 10,190

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Solution

The fourth proportional to 33,563.64, 50,346.58 and 10,190 is: 15,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.64 : 50,346.58 = 10,190 : x
  2. Step 2: Convert to fraction form
    33,563.64/50,346.58 = 10,190/x
  3. Step 3: Cross multiply
    33,563.64x = 50,346.58 × 10,190
  4. Step 4: Simplify right side
    33,563.64x = 513,031,650.20
  5. Step 5: Solve for x
    x = 513,031,650.20/33,563.64
  6. Step 6: Final answer
    x = 15,285.34

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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.