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Finding the Fourth Proportional to 37,766.72, 56,665.44 and 24,273

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Solution

The fourth proportional to 37,766.72, 56,665.44 and 24,273 is: 36,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.72 : 56,665.44 = 24,273 : x
  2. Step 2: Convert to fraction form
    37,766.72/56,665.44 = 24,273/x
  3. Step 3: Cross multiply
    37,766.72x = 56,665.44 × 24,273
  4. Step 4: Simplify right side
    37,766.72x = 1,375,440,225.12
  5. Step 5: Solve for x
    x = 1,375,440,225.12/37,766.72
  6. Step 6: Final answer
    x = 36,419.37

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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.