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Finding the Fourth Proportional to 37,658.41, 56,412.31 and 22,657.26

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Solution

The fourth proportional to 37,658.41, 56,412.31 and 22,657.26 is: 33,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.41 : 56,412.31 = 22,657.26 : x
  2. Step 2: Convert to fraction form
    37,658.41/56,412.31 = 22,657.26/x
  3. Step 3: Cross multiply
    37,658.41x = 56,412.31 × 22,657.26
  4. Step 4: Simplify right side
    37,658.41x = 1,278,148,374.87
  5. Step 5: Solve for x
    x = 1,278,148,374.87/37,658.41
  6. Step 6: Final answer
    x = 33,940.58

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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.