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Finding the Fourth Proportional to 41,657.60, 57,489 and 22,794.86

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Solution

The fourth proportional to 41,657.60, 57,489 and 22,794.86 is: 31,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.60 : 57,489 = 22,794.86 : x
  2. Step 2: Convert to fraction form
    41,657.60/57,489 = 22,794.86/x
  3. Step 3: Cross multiply
    41,657.60x = 57,489 × 22,794.86
  4. Step 4: Simplify right side
    41,657.60x = 1,310,453,706.54
  5. Step 5: Solve for x
    x = 1,310,453,706.54/41,657.60
  6. Step 6: Final answer
    x = 31,457.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.