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Finding the Fourth Proportional to 78,305.92, 117,446.64 and 25,714.96

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Solution

The fourth proportional to 78,305.92, 117,446.64 and 25,714.96 is: 38,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,305.92 : 117,446.64 = 25,714.96 : x
  2. Step 2: Convert to fraction form
    78,305.92/117,446.64 = 25,714.96/x
  3. Step 3: Cross multiply
    78,305.92x = 117,446.64 × 25,714.96
  4. Step 4: Simplify right side
    78,305.92x = 3,020,135,649.73
  5. Step 5: Solve for x
    x = 3,020,135,649.73/78,305.92
  6. Step 6: Final answer
    x = 38,568.42

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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.