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Finding the Fourth Proportional to 50,226.30, 69,315.50 and 33,200.67

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Solution

The fourth proportional to 50,226.30, 69,315.50 and 33,200.67 is: 45,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,226.30 : 69,315.50 = 33,200.67 : x
  2. Step 2: Convert to fraction form
    50,226.30/69,315.50 = 33,200.67/x
  3. Step 3: Cross multiply
    50,226.30x = 69,315.50 × 33,200.67
  4. Step 4: Simplify right side
    50,226.30x = 2,301,320,875.38
  5. Step 5: Solve for x
    x = 2,301,320,875.38/50,226.30
  6. Step 6: Final answer
    x = 45,819.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.