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Finding the Fourth Proportional to 37,791.66, 56,683.17 and 10,091.82

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Solution

The fourth proportional to 37,791.66, 56,683.17 and 10,091.82 is: 15,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791.66 : 56,683.17 = 10,091.82 : x
  2. Step 2: Convert to fraction form
    37,791.66/56,683.17 = 10,091.82/x
  3. Step 3: Cross multiply
    37,791.66x = 56,683.17 × 10,091.82
  4. Step 4: Simplify right side
    37,791.66x = 572,036,348.67
  5. Step 5: Solve for x
    x = 572,036,348.67/37,791.66
  6. Step 6: Final answer
    x = 15,136.58

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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.