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Finding the Fourth Proportional to 55,822.94, 83,805.48 and 36,183.68

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Solution

The fourth proportional to 55,822.94, 83,805.48 and 36,183.68 is: 54,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,822.94 : 83,805.48 = 36,183.68 : x
  2. Step 2: Convert to fraction form
    55,822.94/83,805.48 = 36,183.68/x
  3. Step 3: Cross multiply
    55,822.94x = 83,805.48 × 36,183.68
  4. Step 4: Simplify right side
    55,822.94x = 3,032,390,670.57
  5. Step 5: Solve for x
    x = 3,032,390,670.57/55,822.94
  6. Step 6: Final answer
    x = 54,321.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.