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Finding the Fourth Proportional to 55,183.50, 76,147.97 and 30,978.93

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Solution

The fourth proportional to 55,183.50, 76,147.97 and 30,978.93 is: 42,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,183.50 : 76,147.97 = 30,978.93 : x
  2. Step 2: Convert to fraction form
    55,183.50/76,147.97 = 30,978.93/x
  3. Step 3: Cross multiply
    55,183.50x = 76,147.97 × 30,978.93
  4. Step 4: Simplify right side
    55,183.50x = 2,358,982,477.38
  5. Step 5: Solve for x
    x = 2,358,982,477.38/55,183.50
  6. Step 6: Final answer
    x = 42,747.97

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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.