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Finding the Fourth Proportional to 78,367.10, 117,615.45 and 36,311.90

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Solution

The fourth proportional to 78,367.10, 117,615.45 and 36,311.90 is: 54,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.10 : 117,615.45 = 36,311.90 : x
  2. Step 2: Convert to fraction form
    78,367.10/117,615.45 = 36,311.90/x
  3. Step 3: Cross multiply
    78,367.10x = 117,615.45 × 36,311.90
  4. Step 4: Simplify right side
    78,367.10x = 4,270,840,458.86
  5. Step 5: Solve for x
    x = 4,270,840,458.86/78,367.10
  6. Step 6: Final answer
    x = 54,497.88

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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.