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Finding the Fourth Proportional to 29,742.36, 41,041.48 and 17,171.16

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Solution

The fourth proportional to 29,742.36, 41,041.48 and 17,171.16 is: 23,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.36 : 41,041.48 = 17,171.16 : x
  2. Step 2: Convert to fraction form
    29,742.36/41,041.48 = 17,171.16/x
  3. Step 3: Cross multiply
    29,742.36x = 41,041.48 × 17,171.16
  4. Step 4: Simplify right side
    29,742.36x = 704,729,819.72
  5. Step 5: Solve for x
    x = 704,729,819.72/29,742.36
  6. Step 6: Final answer
    x = 23,694.48

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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.