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Finding the Fourth Proportional to 37,610.38, 56,439 and 34,106.71

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Solution

The fourth proportional to 37,610.38, 56,439 and 34,106.71 is: 51,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610.38 : 56,439 = 34,106.71 : x
  2. Step 2: Convert to fraction form
    37,610.38/56,439 = 34,106.71/x
  3. Step 3: Cross multiply
    37,610.38x = 56,439 × 34,106.71
  4. Step 4: Simplify right side
    37,610.38x = 1,924,948,605.69
  5. Step 5: Solve for x
    x = 1,924,948,605.69/37,610.38
  6. Step 6: Final answer
    x = 51,181.31

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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.