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Finding the Fourth Proportional to 30,196.80, 45,279 and 10,469.52

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Solution

The fourth proportional to 30,196.80, 45,279 and 10,469.52 is: 15,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.80 : 45,279 = 10,469.52 : x
  2. Step 2: Convert to fraction form
    30,196.80/45,279 = 10,469.52/x
  3. Step 3: Cross multiply
    30,196.80x = 45,279 × 10,469.52
  4. Step 4: Simplify right side
    30,196.80x = 474,049,396.08
  5. Step 5: Solve for x
    x = 474,049,396.08/30,196.80
  6. Step 6: Final answer
    x = 15,698.66

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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.