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Finding the Fourth Proportional to 33,432.96, 50,149.50 and 8,473

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Solution

The fourth proportional to 33,432.96, 50,149.50 and 8,473 is: 12,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,432.96 : 50,149.50 = 8,473 : x
  2. Step 2: Convert to fraction form
    33,432.96/50,149.50 = 8,473/x
  3. Step 3: Cross multiply
    33,432.96x = 50,149.50 × 8,473
  4. Step 4: Simplify right side
    33,432.96x = 424,916,713.50
  5. Step 5: Solve for x
    x = 424,916,713.50/33,432.96
  6. Step 6: Final answer
    x = 12,709.52

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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.