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Finding the Fourth Proportional to 29,742.90, 41,044.73 and 16,314.11

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Solution

The fourth proportional to 29,742.90, 41,044.73 and 16,314.11 is: 22,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.90 : 41,044.73 = 16,314.11 : x
  2. Step 2: Convert to fraction form
    29,742.90/41,044.73 = 16,314.11/x
  3. Step 3: Cross multiply
    29,742.90x = 41,044.73 × 16,314.11
  4. Step 4: Simplify right side
    29,742.90x = 669,608,107.26
  5. Step 5: Solve for x
    x = 669,608,107.26/29,742.90
  6. Step 6: Final answer
    x = 22,513.21

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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.