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Finding the Fourth Proportional to 83,794.86, 115,620.33 and 47,002.26

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Solution

The fourth proportional to 83,794.86, 115,620.33 and 47,002.26 is: 64,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.86 : 115,620.33 = 47,002.26 : x
  2. Step 2: Convert to fraction form
    83,794.86/115,620.33 = 47,002.26/x
  3. Step 3: Cross multiply
    83,794.86x = 115,620.33 × 47,002.26
  4. Step 4: Simplify right side
    83,794.86x = 5,434,416,811.95
  5. Step 5: Solve for x
    x = 5,434,416,811.95/83,794.86
  6. Step 6: Final answer
    x = 64,853.82

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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.