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Finding the Fourth Proportional to 76,508.74, 114,800.78 and 34,418.58

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Solution

The fourth proportional to 76,508.74, 114,800.78 and 34,418.58 is: 51,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508.74 : 114,800.78 = 34,418.58 : x
  2. Step 2: Convert to fraction form
    76,508.74/114,800.78 = 34,418.58/x
  3. Step 3: Cross multiply
    76,508.74x = 114,800.78 × 34,418.58
  4. Step 4: Simplify right side
    76,508.74x = 3,951,279,830.49
  5. Step 5: Solve for x
    x = 3,951,279,830.49/76,508.74
  6. Step 6: Final answer
    x = 51,644.82

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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.