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Finding the Fourth Proportional to 41,343.70, 57,055 and 23,438.35

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Solution

The fourth proportional to 41,343.70, 57,055 and 23,438.35 is: 32,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,343.70 : 57,055 = 23,438.35 : x
  2. Step 2: Convert to fraction form
    41,343.70/57,055 = 23,438.35/x
  3. Step 3: Cross multiply
    41,343.70x = 57,055 × 23,438.35
  4. Step 4: Simplify right side
    41,343.70x = 1,337,275,059.25
  5. Step 5: Solve for x
    x = 1,337,275,059.25/41,343.70
  6. Step 6: Final answer
    x = 32,345.32

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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.