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Finding the Fourth Proportional to 28,229.52, 42,344.30 and 7,171.14

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Solution

The fourth proportional to 28,229.52, 42,344.30 and 7,171.14 is: 10,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,229.52 : 42,344.30 = 7,171.14 : x
  2. Step 2: Convert to fraction form
    28,229.52/42,344.30 = 7,171.14/x
  3. Step 3: Cross multiply
    28,229.52x = 42,344.30 × 7,171.14
  4. Step 4: Simplify right side
    28,229.52x = 303,656,903.50
  5. Step 5: Solve for x
    x = 303,656,903.50/28,229.52
  6. Step 6: Final answer
    x = 10,756.72

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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.