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Finding the Fourth Proportional to 50,738.52, 76,098.87 and 15,678.48

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Solution

The fourth proportional to 50,738.52, 76,098.87 and 15,678.48 is: 23,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.52 : 76,098.87 = 15,678.48 : x
  2. Step 2: Convert to fraction form
    50,738.52/76,098.87 = 15,678.48/x
  3. Step 3: Cross multiply
    50,738.52x = 76,098.87 × 15,678.48
  4. Step 4: Simplify right side
    50,738.52x = 1,193,114,611.32
  5. Step 5: Solve for x
    x = 1,193,114,611.32/50,738.52
  6. Step 6: Final answer
    x = 23,514.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.