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Finding the Fourth Proportional to 53,492.25, 80,255.17 and 32,169.51

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Solution

The fourth proportional to 53,492.25, 80,255.17 and 32,169.51 is: 48,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,492.25 : 80,255.17 = 32,169.51 : x
  2. Step 2: Convert to fraction form
    53,492.25/80,255.17 = 32,169.51/x
  3. Step 3: Cross multiply
    53,492.25x = 80,255.17 × 32,169.51
  4. Step 4: Simplify right side
    53,492.25x = 2,581,769,493.87
  5. Step 5: Solve for x
    x = 2,581,769,493.87/53,492.25
  6. Step 6: Final answer
    x = 48,264.37

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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.