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Finding the Fourth Proportional to 37,669.66, 56,435.62 and 17,642.41

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Solution

The fourth proportional to 37,669.66, 56,435.62 and 17,642.41 is: 26,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,669.66 : 56,435.62 = 17,642.41 : x
  2. Step 2: Convert to fraction form
    37,669.66/56,435.62 = 17,642.41/x
  3. Step 3: Cross multiply
    37,669.66x = 56,435.62 × 17,642.41
  4. Step 4: Simplify right side
    37,669.66x = 995,660,346.64
  5. Step 5: Solve for x
    x = 995,660,346.64/37,669.66
  6. Step 6: Final answer
    x = 26,431.36

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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.