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Finding the Fourth Proportional to 69,578.60, 104,282.39 and 32,086.64

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Solution

The fourth proportional to 69,578.60, 104,282.39 and 32,086.64 is: 48,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,578.60 : 104,282.39 = 32,086.64 : x
  2. Step 2: Convert to fraction form
    69,578.60/104,282.39 = 32,086.64/x
  3. Step 3: Cross multiply
    69,578.60x = 104,282.39 × 32,086.64
  4. Step 4: Simplify right side
    69,578.60x = 3,346,070,824.42
  5. Step 5: Solve for x
    x = 3,346,070,824.42/69,578.60
  6. Step 6: Final answer
    x = 48,090.52

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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.