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Finding the Fourth Proportional to 78,873.82, 118,311.76 and 22,714.86

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Solution

The fourth proportional to 78,873.82, 118,311.76 and 22,714.86 is: 34,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,873.82 : 118,311.76 = 22,714.86 : x
  2. Step 2: Convert to fraction form
    78,873.82/118,311.76 = 22,714.86/x
  3. Step 3: Cross multiply
    78,873.82x = 118,311.76 × 22,714.86
  4. Step 4: Simplify right side
    78,873.82x = 2,687,435,064.75
  5. Step 5: Solve for x
    x = 2,687,435,064.75/78,873.82
  6. Step 6: Final answer
    x = 34,072.59

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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.