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Finding the Fourth Proportional to 37,396.26, 51,630.75 and 23,268.24

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Solution

The fourth proportional to 37,396.26, 51,630.75 and 23,268.24 is: 32,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,396.26 : 51,630.75 = 23,268.24 : x
  2. Step 2: Convert to fraction form
    37,396.26/51,630.75 = 23,268.24/x
  3. Step 3: Cross multiply
    37,396.26x = 51,630.75 × 23,268.24
  4. Step 4: Simplify right side
    37,396.26x = 1,201,356,682.38
  5. Step 5: Solve for x
    x = 1,201,356,682.38/37,396.26
  6. Step 6: Final answer
    x = 32,125.05

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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.