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Finding the Fourth Proportional to 33,590.88, 50,372.16 and 10,212

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Solution

The fourth proportional to 33,590.88, 50,372.16 and 10,212 is: 15,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590.88 : 50,372.16 = 10,212 : x
  2. Step 2: Convert to fraction form
    33,590.88/50,372.16 = 10,212/x
  3. Step 3: Cross multiply
    33,590.88x = 50,372.16 × 10,212
  4. Step 4: Simplify right side
    33,590.88x = 514,400,497.92
  5. Step 5: Solve for x
    x = 514,400,497.92/33,590.88
  6. Step 6: Final answer
    x = 15,313.70

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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.