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Finding the Fourth Proportional to 41,416.84, 57,157.64 and 31,189.57

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Solution

The fourth proportional to 41,416.84, 57,157.64 and 31,189.57 is: 43,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416.84 : 57,157.64 = 31,189.57 : x
  2. Step 2: Convert to fraction form
    41,416.84/57,157.64 = 31,189.57/x
  3. Step 3: Cross multiply
    41,416.84x = 57,157.64 × 31,189.57
  4. Step 4: Simplify right side
    41,416.84x = 1,782,722,213.81
  5. Step 5: Solve for x
    x = 1,782,722,213.81/41,416.84
  6. Step 6: Final answer
    x = 43,043.41

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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.