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Finding the Fourth Proportional to 33,675.92, 50,514 and 10,302.28

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Solution

The fourth proportional to 33,675.92, 50,514 and 10,302.28 is: 15,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675.92 : 50,514 = 10,302.28 : x
  2. Step 2: Convert to fraction form
    33,675.92/50,514 = 10,302.28/x
  3. Step 3: Cross multiply
    33,675.92x = 50,514 × 10,302.28
  4. Step 4: Simplify right side
    33,675.92x = 520,409,371.92
  5. Step 5: Solve for x
    x = 520,409,371.92/33,675.92
  6. Step 6: Final answer
    x = 15,453.46

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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.