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Finding the Fourth Proportional to 67,497.96, 101,175 and 50,806.38

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Solution

The fourth proportional to 67,497.96, 101,175 and 50,806.38 is: 76,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,497.96 : 101,175 = 50,806.38 : x
  2. Step 2: Convert to fraction form
    67,497.96/101,175 = 50,806.38/x
  3. Step 3: Cross multiply
    67,497.96x = 101,175 × 50,806.38
  4. Step 4: Simplify right side
    67,497.96x = 5,140,335,496.50
  5. Step 5: Solve for x
    x = 5,140,335,496.50/67,497.96
  6. Step 6: Final answer
    x = 76,155.42

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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.