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Finding the Fourth Proportional to 50,859.72, 76,275 and 15,324.48

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Solution

The fourth proportional to 50,859.72, 76,275 and 15,324.48 is: 22,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,859.72 : 76,275 = 15,324.48 : x
  2. Step 2: Convert to fraction form
    50,859.72/76,275 = 15,324.48/x
  3. Step 3: Cross multiply
    50,859.72x = 76,275 × 15,324.48
  4. Step 4: Simplify right side
    50,859.72x = 1,168,874,712
  5. Step 5: Solve for x
    x = 1,168,874,712/50,859.72
  6. Step 6: Final answer
    x = 22,982.33

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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.