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Finding the Fourth Proportional to 67,164.68, 100,681.42 and 33,784.60

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Solution

The fourth proportional to 67,164.68, 100,681.42 and 33,784.60 is: 50,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.68 : 100,681.42 = 33,784.60 : x
  2. Step 2: Convert to fraction form
    67,164.68/100,681.42 = 33,784.60/x
  3. Step 3: Cross multiply
    67,164.68x = 100,681.42 × 33,784.60
  4. Step 4: Simplify right side
    67,164.68x = 3,401,481,502.13
  5. Step 5: Solve for x
    x = 3,401,481,502.13/67,164.68
  6. Step 6: Final answer
    x = 50,643.90

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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.