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Finding the Fourth Proportional to 82,930.38, 114,443.67 and 47,118.66

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Solution

The fourth proportional to 82,930.38, 114,443.67 and 47,118.66 is: 65,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,930.38 : 114,443.67 = 47,118.66 : x
  2. Step 2: Convert to fraction form
    82,930.38/114,443.67 = 47,118.66/x
  3. Step 3: Cross multiply
    82,930.38x = 114,443.67 × 47,118.66
  4. Step 4: Simplify right side
    82,930.38x = 5,392,432,375.88
  5. Step 5: Solve for x
    x = 5,392,432,375.88/82,930.38
  6. Step 6: Final answer
    x = 65,023.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.