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Finding the Fourth Proportional to 55,755, 76,951.62 and 31,882.68

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Solution

The fourth proportional to 55,755, 76,951.62 and 31,882.68 is: 44,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,755 : 76,951.62 = 31,882.68 : x
  2. Step 2: Convert to fraction form
    55,755/76,951.62 = 31,882.68/x
  3. Step 3: Cross multiply
    55,755x = 76,951.62 × 31,882.68
  4. Step 4: Simplify right side
    55,755x = 2,453,423,875.94
  5. Step 5: Solve for x
    x = 2,453,423,875.94/55,755
  6. Step 6: Final answer
    x = 44,003.66

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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.