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Finding the Fourth Proportional to 37,668.66, 56,434.13 and 17,641.41

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Solution

The fourth proportional to 37,668.66, 56,434.13 and 17,641.41 is: 26,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668.66 : 56,434.13 = 17,641.41 : x
  2. Step 2: Convert to fraction form
    37,668.66/56,434.13 = 17,641.41/x
  3. Step 3: Cross multiply
    37,668.66x = 56,434.13 × 17,641.41
  4. Step 4: Simplify right side
    37,668.66x = 995,577,537.12
  5. Step 5: Solve for x
    x = 995,577,537.12/37,668.66
  6. Step 6: Final answer
    x = 26,429.86

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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.