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Finding the Fourth Proportional to 37,766.71, 56,649.93 and 11,471.41

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Solution

The fourth proportional to 37,766.71, 56,649.93 and 11,471.41 is: 17,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.71 : 56,649.93 = 11,471.41 : x
  2. Step 2: Convert to fraction form
    37,766.71/56,649.93 = 11,471.41/x
  3. Step 3: Cross multiply
    37,766.71x = 56,649.93 × 11,471.41
  4. Step 4: Simplify right side
    37,766.71x = 649,854,573.50
  5. Step 5: Solve for x
    x = 649,854,573.50/37,766.71
  6. Step 6: Final answer
    x = 17,207.07

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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.