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Finding the Fourth Proportional to 55,477, 76,558.26 and 30,326.68

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Solution

The fourth proportional to 55,477, 76,558.26 and 30,326.68 is: 41,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,477 : 76,558.26 = 30,326.68 : x
  2. Step 2: Convert to fraction form
    55,477/76,558.26 = 30,326.68/x
  3. Step 3: Cross multiply
    55,477x = 76,558.26 × 30,326.68
  4. Step 4: Simplify right side
    55,477x = 2,321,757,852.38
  5. Step 5: Solve for x
    x = 2,321,757,852.38/55,477
  6. Step 6: Final answer
    x = 41,850.82

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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.