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Finding the Fourth Proportional to 29,836.89, 41,175.06 and 16,409.01

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Solution

The fourth proportional to 29,836.89, 41,175.06 and 16,409.01 is: 22,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836.89 : 41,175.06 = 16,409.01 : x
  2. Step 2: Convert to fraction form
    29,836.89/41,175.06 = 16,409.01/x
  3. Step 3: Cross multiply
    29,836.89x = 41,175.06 × 16,409.01
  4. Step 4: Simplify right side
    29,836.89x = 675,641,971.29
  5. Step 5: Solve for x
    x = 675,641,971.29/29,836.89
  6. Step 6: Final answer
    x = 22,644.52

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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.