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Finding the Fourth Proportional to 37,658.41, 56,418.77 and 17,631.16

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Solution

The fourth proportional to 37,658.41, 56,418.77 and 17,631.16 is: 26,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.41 : 56,418.77 = 17,631.16 : x
  2. Step 2: Convert to fraction form
    37,658.41/56,418.77 = 17,631.16/x
  3. Step 3: Cross multiply
    37,658.41x = 56,418.77 × 17,631.16
  4. Step 4: Simplify right side
    37,658.41x = 994,728,272.72
  5. Step 5: Solve for x
    x = 994,728,272.72/37,658.41
  6. Step 6: Final answer
    x = 26,414.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.