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Finding the Fourth Proportional to 76,476.97, 114,714.60 and 53,894.89

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Solution

The fourth proportional to 76,476.97, 114,714.60 and 53,894.89 is: 80,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476.97 : 114,714.60 = 53,894.89 : x
  2. Step 2: Convert to fraction form
    76,476.97/114,714.60 = 53,894.89/x
  3. Step 3: Cross multiply
    76,476.97x = 114,714.60 × 53,894.89
  4. Step 4: Simplify right side
    76,476.97x = 6,182,530,748.39
  5. Step 5: Solve for x
    x = 6,182,530,748.39/76,476.97
  6. Step 6: Final answer
    x = 80,841.73

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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.