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Finding the Fourth Proportional to 37,757.16, 52,085.25 and 22,642.56

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Solution

The fourth proportional to 37,757.16, 52,085.25 and 22,642.56 is: 31,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.16 : 52,085.25 = 22,642.56 : x
  2. Step 2: Convert to fraction form
    37,757.16/52,085.25 = 22,642.56/x
  3. Step 3: Cross multiply
    37,757.16x = 52,085.25 × 22,642.56
  4. Step 4: Simplify right side
    37,757.16x = 1,179,343,398.24
  5. Step 5: Solve for x
    x = 1,179,343,398.24/37,757.16
  6. Step 6: Final answer
    x = 31,234.96

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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.