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Finding the Fourth Proportional to 53,854.48, 80,850.66 and 36,198.64

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Solution

The fourth proportional to 53,854.48, 80,850.66 and 36,198.64 is: 54,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854.48 : 80,850.66 = 36,198.64 : x
  2. Step 2: Convert to fraction form
    53,854.48/80,850.66 = 36,198.64/x
  3. Step 3: Cross multiply
    53,854.48x = 80,850.66 × 36,198.64
  4. Step 4: Simplify right side
    53,854.48x = 2,926,683,935.10
  5. Step 5: Solve for x
    x = 2,926,683,935.10/53,854.48
  6. Step 6: Final answer
    x = 54,344.30

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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.