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Finding the Fourth Proportional to 41,698.09, 57,542.25 and 23,792.77

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Solution

The fourth proportional to 41,698.09, 57,542.25 and 23,792.77 is: 32,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698.09 : 57,542.25 = 23,792.77 : x
  2. Step 2: Convert to fraction form
    41,698.09/57,542.25 = 23,792.77/x
  3. Step 3: Cross multiply
    41,698.09x = 57,542.25 × 23,792.77
  4. Step 4: Simplify right side
    41,698.09x = 1,369,089,519.53
  5. Step 5: Solve for x
    x = 1,369,089,519.53/41,698.09
  6. Step 6: Final answer
    x = 32,833.39

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Why These Related Problems?

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