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Finding the Fourth Proportional to 55,494, 83,241.08 and 22,662

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Solution

The fourth proportional to 55,494, 83,241.08 and 22,662 is: 33,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,494 : 83,241.08 = 22,662 : x
  2. Step 2: Convert to fraction form
    55,494/83,241.08 = 22,662/x
  3. Step 3: Cross multiply
    55,494x = 83,241.08 × 22,662
  4. Step 4: Simplify right side
    55,494x = 1,886,409,354.96
  5. Step 5: Solve for x
    x = 1,886,409,354.96/55,494
  6. Step 6: Final answer
    x = 33,993.03

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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.