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Finding the Fourth Proportional to 37,533.82, 51,805.32 and 24,789.52

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Solution

The fourth proportional to 37,533.82, 51,805.32 and 24,789.52 is: 34,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.82 : 51,805.32 = 24,789.52 : x
  2. Step 2: Convert to fraction form
    37,533.82/51,805.32 = 24,789.52/x
  3. Step 3: Cross multiply
    37,533.82x = 51,805.32 × 24,789.52
  4. Step 4: Simplify right side
    37,533.82x = 1,284,229,016.25
  5. Step 5: Solve for x
    x = 1,284,229,016.25/37,533.82
  6. Step 6: Final answer
    x = 34,215.25

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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.