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Finding the Fourth Proportional to 37,531.28, 51,796.72 and 22,424

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Solution

The fourth proportional to 37,531.28, 51,796.72 and 22,424 is: 30,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,531.28 : 51,796.72 = 22,424 : x
  2. Step 2: Convert to fraction form
    37,531.28/51,796.72 = 22,424/x
  3. Step 3: Cross multiply
    37,531.28x = 51,796.72 × 22,424
  4. Step 4: Simplify right side
    37,531.28x = 1,161,489,649.28
  5. Step 5: Solve for x
    x = 1,161,489,649.28/37,531.28
  6. Step 6: Final answer
    x = 30,947.24

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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.