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Finding the Fourth Proportional to 29,768.81, 41,080.91 and 16,340.09

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Solution

The fourth proportional to 29,768.81, 41,080.91 and 16,340.09 is: 22,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768.81 : 41,080.91 = 16,340.09 : x
  2. Step 2: Convert to fraction form
    29,768.81/41,080.91 = 16,340.09/x
  3. Step 3: Cross multiply
    29,768.81x = 41,080.91 × 16,340.09
  4. Step 4: Simplify right side
    29,768.81x = 671,265,479.58
  5. Step 5: Solve for x
    x = 671,265,479.58/29,768.81
  6. Step 6: Final answer
    x = 22,549.29

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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.