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Finding the Fourth Proportional to 37,952.26, 52,378.56 and 31,567.59

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Solution

The fourth proportional to 37,952.26, 52,378.56 and 31,567.59 is: 43,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,952.26 : 52,378.56 = 31,567.59 : x
  2. Step 2: Convert to fraction form
    37,952.26/52,378.56 = 31,567.59/x
  3. Step 3: Cross multiply
    37,952.26x = 52,378.56 × 31,567.59
  4. Step 4: Simplify right side
    37,952.26x = 1,653,464,906.87
  5. Step 5: Solve for x
    x = 1,653,464,906.87/37,952.26
  6. Step 6: Final answer
    x = 43,566.97

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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.