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Finding the Fourth Proportional to 40,803.80, 61,200.84 and 11,224.64

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Solution

The fourth proportional to 40,803.80, 61,200.84 and 11,224.64 is: 16,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803.80 : 61,200.84 = 11,224.64 : x
  2. Step 2: Convert to fraction form
    40,803.80/61,200.84 = 11,224.64/x
  3. Step 3: Cross multiply
    40,803.80x = 61,200.84 × 11,224.64
  4. Step 4: Simplify right side
    40,803.80x = 686,957,396.70
  5. Step 5: Solve for x
    x = 686,957,396.70/40,803.80
  6. Step 6: Final answer
    x = 16,835.62

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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.