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Finding the Fourth Proportional to 55,786.44, 76,998.94 and 34,281.38

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Solution

The fourth proportional to 55,786.44, 76,998.94 and 34,281.38 is: 47,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,786.44 : 76,998.94 = 34,281.38 : x
  2. Step 2: Convert to fraction form
    55,786.44/76,998.94 = 34,281.38/x
  3. Step 3: Cross multiply
    55,786.44x = 76,998.94 × 34,281.38
  4. Step 4: Simplify right side
    55,786.44x = 2,639,629,921.74
  5. Step 5: Solve for x
    x = 2,639,629,921.74/55,786.44
  6. Step 6: Final answer
    x = 47,316.69

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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.