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Finding the Fourth Proportional to 37,794.10, 56,691.15 and 21,205.30

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Solution

The fourth proportional to 37,794.10, 56,691.15 and 21,205.30 is: 31,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794.10 : 56,691.15 = 21,205.30 : x
  2. Step 2: Convert to fraction form
    37,794.10/56,691.15 = 21,205.30/x
  3. Step 3: Cross multiply
    37,794.10x = 56,691.15 × 21,205.30
  4. Step 4: Simplify right side
    37,794.10x = 1,202,152,843.10
  5. Step 5: Solve for x
    x = 1,202,152,843.10/37,794.10
  6. Step 6: Final answer
    x = 31,807.95

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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.