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Finding the Fourth Proportional to 50,576.57, 75,874.62 and 19,409.39

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Solution

The fourth proportional to 50,576.57, 75,874.62 and 19,409.39 is: 29,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576.57 : 75,874.62 = 19,409.39 : x
  2. Step 2: Convert to fraction form
    50,576.57/75,874.62 = 19,409.39/x
  3. Step 3: Cross multiply
    50,576.57x = 75,874.62 × 19,409.39
  4. Step 4: Simplify right side
    50,576.57x = 1,472,680,090.68
  5. Step 5: Solve for x
    x = 1,472,680,090.68/50,576.57
  6. Step 6: Final answer
    x = 29,117.83

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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.