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Finding the Fourth Proportional to 67,150.78, 100,536.64 and 35,489.10

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Solution

The fourth proportional to 67,150.78, 100,536.64 and 35,489.10 is: 53,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,150.78 : 100,536.64 = 35,489.10 : x
  2. Step 2: Convert to fraction form
    67,150.78/100,536.64 = 35,489.10/x
  3. Step 3: Cross multiply
    67,150.78x = 100,536.64 × 35,489.10
  4. Step 4: Simplify right side
    67,150.78x = 3,567,954,870.62
  5. Step 5: Solve for x
    x = 3,567,954,870.62/67,150.78
  6. Step 6: Final answer
    x = 53,133.48

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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.