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Finding the Fourth Proportional to 55,654.38, 76,778.91 and 36,817.74

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Solution

The fourth proportional to 55,654.38, 76,778.91 and 36,817.74 is: 50,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,654.38 : 76,778.91 = 36,817.74 : x
  2. Step 2: Convert to fraction form
    55,654.38/76,778.91 = 36,817.74/x
  3. Step 3: Cross multiply
    55,654.38x = 76,778.91 × 36,817.74
  4. Step 4: Simplify right side
    55,654.38x = 2,826,825,945.86
  5. Step 5: Solve for x
    x = 2,826,825,945.86/55,654.38
  6. Step 6: Final answer
    x = 50,792.52

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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.