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Finding the Fourth Proportional to 29,741.71, 41,043.63 and 17,166.46

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Solution

The fourth proportional to 29,741.71, 41,043.63 and 17,166.46 is: 23,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.71 : 41,043.63 = 17,166.46 : x
  2. Step 2: Convert to fraction form
    29,741.71/41,043.63 = 17,166.46/x
  3. Step 3: Cross multiply
    29,741.71x = 41,043.63 × 17,166.46
  4. Step 4: Simplify right side
    29,741.71x = 704,573,832.65
  5. Step 5: Solve for x
    x = 704,573,832.65/29,741.71
  6. Step 6: Final answer
    x = 23,689.76

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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.