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Finding the Fourth Proportional to 41,706.31, 57,542.65 and 23,556.07

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Solution

The fourth proportional to 41,706.31, 57,542.65 and 23,556.07 is: 32,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.31 : 57,542.65 = 23,556.07 : x
  2. Step 2: Convert to fraction form
    41,706.31/57,542.65 = 23,556.07/x
  3. Step 3: Cross multiply
    41,706.31x = 57,542.65 × 23,556.07
  4. Step 4: Simplify right side
    41,706.31x = 1,355,478,691.39
  5. Step 5: Solve for x
    x = 1,355,478,691.39/41,706.31
  6. Step 6: Final answer
    x = 32,500.57

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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.