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Finding the Fourth Proportional to 50,861.72, 76,278 and 15,326.48

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Solution

The fourth proportional to 50,861.72, 76,278 and 15,326.48 is: 22,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,861.72 : 76,278 = 15,326.48 : x
  2. Step 2: Convert to fraction form
    50,861.72/76,278 = 15,326.48/x
  3. Step 3: Cross multiply
    50,861.72x = 76,278 × 15,326.48
  4. Step 4: Simplify right side
    50,861.72x = 1,169,073,241.44
  5. Step 5: Solve for x
    x = 1,169,073,241.44/50,861.72
  6. Step 6: Final answer
    x = 22,985.33

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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.