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Finding the Fourth Proportional to 41,534.16, 57,375 and 37,056.48

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Solution

The fourth proportional to 41,534.16, 57,375 and 37,056.48 is: 51,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,534.16 : 57,375 = 37,056.48 : x
  2. Step 2: Convert to fraction form
    41,534.16/57,375 = 37,056.48/x
  3. Step 3: Cross multiply
    41,534.16x = 57,375 × 37,056.48
  4. Step 4: Simplify right side
    41,534.16x = 2,126,115,540.00
  5. Step 5: Solve for x
    x = 2,126,115,540.00/41,534.16
  6. Step 6: Final answer
    x = 51,189.56

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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.