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Finding the Fourth Proportional to 29,847.83, 41,180.22 and 17,102.48

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Solution

The fourth proportional to 29,847.83, 41,180.22 and 17,102.48 is: 23,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.83 : 41,180.22 = 17,102.48 : x
  2. Step 2: Convert to fraction form
    29,847.83/41,180.22 = 17,102.48/x
  3. Step 3: Cross multiply
    29,847.83x = 41,180.22 × 17,102.48
  4. Step 4: Simplify right side
    29,847.83x = 704,283,683.04
  5. Step 5: Solve for x
    x = 704,283,683.04/29,847.83
  6. Step 6: Final answer
    x = 23,595.81

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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.