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Finding the Fourth Proportional to 33,772.60, 50,658.90 and 10,406.20

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Solution

The fourth proportional to 33,772.60, 50,658.90 and 10,406.20 is: 15,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,772.60 : 50,658.90 = 10,406.20 : x
  2. Step 2: Convert to fraction form
    33,772.60/50,658.90 = 10,406.20/x
  3. Step 3: Cross multiply
    33,772.60x = 50,658.90 × 10,406.20
  4. Step 4: Simplify right side
    33,772.60x = 527,166,645.18
  5. Step 5: Solve for x
    x = 527,166,645.18/33,772.60
  6. Step 6: Final answer
    x = 15,609.30

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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.