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Finding the Fourth Proportional to 33,200.64, 49,808.64 and 11,013.76

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Solution

The fourth proportional to 33,200.64, 49,808.64 and 11,013.76 is: 16,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.64 : 49,808.64 = 11,013.76 : x
  2. Step 2: Convert to fraction form
    33,200.64/49,808.64 = 11,013.76/x
  3. Step 3: Cross multiply
    33,200.64x = 49,808.64 × 11,013.76
  4. Step 4: Simplify right side
    33,200.64x = 548,580,406.89
  5. Step 5: Solve for x
    x = 548,580,406.89/33,200.64
  6. Step 6: Final answer
    x = 16,523.19

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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.