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Finding the Fourth Proportional to 29,735.61, 41,032.19 and 17,164.41

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Solution

The fourth proportional to 29,735.61, 41,032.19 and 17,164.41 is: 23,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,735.61 : 41,032.19 = 17,164.41 : x
  2. Step 2: Convert to fraction form
    29,735.61/41,032.19 = 17,164.41/x
  3. Step 3: Cross multiply
    29,735.61x = 41,032.19 × 17,164.41
  4. Step 4: Simplify right side
    29,735.61x = 704,293,246.54
  5. Step 5: Solve for x
    x = 704,293,246.54/29,735.61
  6. Step 6: Final answer
    x = 23,685.18

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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.