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Finding the Fourth Proportional to 50,889.68, 76,342.68 and 15,837.44

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Solution

The fourth proportional to 50,889.68, 76,342.68 and 15,837.44 is: 23,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,889.68 : 76,342.68 = 15,837.44 : x
  2. Step 2: Convert to fraction form
    50,889.68/76,342.68 = 15,837.44/x
  3. Step 3: Cross multiply
    50,889.68x = 76,342.68 × 15,837.44
  4. Step 4: Simplify right side
    50,889.68x = 1,209,072,613.94
  5. Step 5: Solve for x
    x = 1,209,072,613.94/50,889.68
  6. Step 6: Final answer
    x = 23,758.70

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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.