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Finding the Fourth Proportional to 69,614.31, 96,067.84 and 37,783.20

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Solution

The fourth proportional to 69,614.31, 96,067.84 and 37,783.20 is: 52,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,614.31 : 96,067.84 = 37,783.20 : x
  2. Step 2: Convert to fraction form
    69,614.31/96,067.84 = 37,783.20/x
  3. Step 3: Cross multiply
    69,614.31x = 96,067.84 × 37,783.20
  4. Step 4: Simplify right side
    69,614.31x = 3,629,750,412.29
  5. Step 5: Solve for x
    x = 3,629,750,412.29/69,614.31
  6. Step 6: Final answer
    x = 52,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.