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Finding the Fourth Proportional to 50,492.67, 69,680.37 and 27,832.53

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Solution

The fourth proportional to 50,492.67, 69,680.37 and 27,832.53 is: 38,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.67 : 69,680.37 = 27,832.53 : x
  2. Step 2: Convert to fraction form
    50,492.67/69,680.37 = 27,832.53/x
  3. Step 3: Cross multiply
    50,492.67x = 69,680.37 × 27,832.53
  4. Step 4: Simplify right side
    50,492.67x = 1,939,380,988.44
  5. Step 5: Solve for x
    x = 1,939,380,988.44/50,492.67
  6. Step 6: Final answer
    x = 38,409.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.