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Finding the Fourth Proportional to 36,479.54, 50,342.78 and 22,142

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Solution

The fourth proportional to 36,479.54, 50,342.78 and 22,142 is: 30,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,479.54 : 50,342.78 = 22,142 : x
  2. Step 2: Convert to fraction form
    36,479.54/50,342.78 = 22,142/x
  3. Step 3: Cross multiply
    36,479.54x = 50,342.78 × 22,142
  4. Step 4: Simplify right side
    36,479.54x = 1,114,689,834.76
  5. Step 5: Solve for x
    x = 1,114,689,834.76/36,479.54
  6. Step 6: Final answer
    x = 30,556.58

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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.