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Finding the Fourth Proportional to 33,492.96, 50,213.52 and 15,012

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Solution

The fourth proportional to 33,492.96, 50,213.52 and 15,012 is: 22,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492.96 : 50,213.52 = 15,012 : x
  2. Step 2: Convert to fraction form
    33,492.96/50,213.52 = 15,012/x
  3. Step 3: Cross multiply
    33,492.96x = 50,213.52 × 15,012
  4. Step 4: Simplify right side
    33,492.96x = 753,805,362.24
  5. Step 5: Solve for x
    x = 753,805,362.24/33,492.96
  6. Step 6: Final answer
    x = 22,506.38

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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.