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Finding the Fourth Proportional to 33,708, 50,567.94 and 11,516.16

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Solution

The fourth proportional to 33,708, 50,567.94 and 11,516.16 is: 17,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708 : 50,567.94 = 11,516.16 : x
  2. Step 2: Convert to fraction form
    33,708/50,567.94 = 11,516.16/x
  3. Step 3: Cross multiply
    33,708x = 50,567.94 × 11,516.16
  4. Step 4: Simplify right side
    33,708x = 582,348,487.91
  5. Step 5: Solve for x
    x = 582,348,487.91/33,708
  6. Step 6: Final answer
    x = 17,276.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.