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Finding the Fourth Proportional to 55,502.42, 76,591.77 and 30,351.38

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Solution

The fourth proportional to 55,502.42, 76,591.77 and 30,351.38 is: 41,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,502.42 : 76,591.77 = 30,351.38 : x
  2. Step 2: Convert to fraction form
    55,502.42/76,591.77 = 30,351.38/x
  3. Step 3: Cross multiply
    55,502.42x = 76,591.77 × 30,351.38
  4. Step 4: Simplify right side
    55,502.42x = 2,324,665,533.18
  5. Step 5: Solve for x
    x = 2,324,665,533.18/55,502.42
  6. Step 6: Final answer
    x = 41,884.04

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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.