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Finding the Fourth Proportional to 37,023.36, 51,092.64 and 20,256

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Solution

The fourth proportional to 37,023.36, 51,092.64 and 20,256 is: 27,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,023.36 : 51,092.64 = 20,256 : x
  2. Step 2: Convert to fraction form
    37,023.36/51,092.64 = 20,256/x
  3. Step 3: Cross multiply
    37,023.36x = 51,092.64 × 20,256
  4. Step 4: Simplify right side
    37,023.36x = 1,034,932,515.84
  5. Step 5: Solve for x
    x = 1,034,932,515.84/37,023.36
  6. Step 6: Final answer
    x = 27,953.50

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