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Finding the Fourth Proportional to 76,446.88, 114,620.64 and 29,704.48

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Solution

The fourth proportional to 76,446.88, 114,620.64 and 29,704.48 is: 44,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.88 : 114,620.64 = 29,704.48 : x
  2. Step 2: Convert to fraction form
    76,446.88/114,620.64 = 29,704.48/x
  3. Step 3: Cross multiply
    76,446.88x = 114,620.64 × 29,704.48
  4. Step 4: Simplify right side
    76,446.88x = 3,404,746,508.47
  5. Step 5: Solve for x
    x = 3,404,746,508.47/76,446.88
  6. Step 6: Final answer
    x = 44,537.42

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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.