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Finding the Fourth Proportional to 29,742.26, 41,044.62 and 16,313.16

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Solution

The fourth proportional to 29,742.26, 41,044.62 and 16,313.16 is: 22,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.26 : 41,044.62 = 16,313.16 : x
  2. Step 2: Convert to fraction form
    29,742.26/41,044.62 = 16,313.16/x
  3. Step 3: Cross multiply
    29,742.26x = 41,044.62 × 16,313.16
  4. Step 4: Simplify right side
    29,742.26x = 669,567,668.29
  5. Step 5: Solve for x
    x = 669,567,668.29/29,742.26
  6. Step 6: Final answer
    x = 22,512.34

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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.