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Finding the Fourth Proportional to 37,766.53, 56,649.98 and 11,471.50

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Solution

The fourth proportional to 37,766.53, 56,649.98 and 11,471.50 is: 17,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.53 : 56,649.98 = 11,471.50 : x
  2. Step 2: Convert to fraction form
    37,766.53/56,649.98 = 11,471.50/x
  3. Step 3: Cross multiply
    37,766.53x = 56,649.98 × 11,471.50
  4. Step 4: Simplify right side
    37,766.53x = 649,860,245.57
  5. Step 5: Solve for x
    x = 649,860,245.57/37,766.53
  6. Step 6: Final answer
    x = 17,207.31

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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.