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Finding the Fourth Proportional to 37,883.86, 56,832.14 and 11,582.44

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Solution

The fourth proportional to 37,883.86, 56,832.14 and 11,582.44 is: 17,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,883.86 : 56,832.14 = 11,582.44 : x
  2. Step 2: Convert to fraction form
    37,883.86/56,832.14 = 11,582.44/x
  3. Step 3: Cross multiply
    37,883.86x = 56,832.14 × 11,582.44
  4. Step 4: Simplify right side
    37,883.86x = 658,254,738.50
  5. Step 5: Solve for x
    x = 658,254,738.50/37,883.86
  6. Step 6: Final answer
    x = 17,375.60

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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.