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Finding the Fourth Proportional to 67,137.60, 100,784.20 and 36,033.60

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Solution

The fourth proportional to 67,137.60, 100,784.20 and 36,033.60 is: 54,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,137.60 : 100,784.20 = 36,033.60 : x
  2. Step 2: Convert to fraction form
    67,137.60/100,784.20 = 36,033.60/x
  3. Step 3: Cross multiply
    67,137.60x = 100,784.20 × 36,033.60
  4. Step 4: Simplify right side
    67,137.60x = 3,631,617,549.12
  5. Step 5: Solve for x
    x = 3,631,617,549.12/67,137.60
  6. Step 6: Final answer
    x = 54,092.16

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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.