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Finding the Fourth Proportional to 76,344.54, 114,521.13 and 23,752.86

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Solution

The fourth proportional to 76,344.54, 114,521.13 and 23,752.86 is: 35,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344.54 : 114,521.13 = 23,752.86 : x
  2. Step 2: Convert to fraction form
    76,344.54/114,521.13 = 23,752.86/x
  3. Step 3: Cross multiply
    76,344.54x = 114,521.13 × 23,752.86
  4. Step 4: Simplify right side
    76,344.54x = 2,720,204,367.93
  5. Step 5: Solve for x
    x = 2,720,204,367.93/76,344.54
  6. Step 6: Final answer
    x = 35,630.63

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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.