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Finding the Fourth Proportional to 55,944.01, 83,917.69 and 13,824.08

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Solution

The fourth proportional to 55,944.01, 83,917.69 and 13,824.08 is: 20,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,944.01 : 83,917.69 = 13,824.08 : x
  2. Step 2: Convert to fraction form
    55,944.01/83,917.69 = 13,824.08/x
  3. Step 3: Cross multiply
    55,944.01x = 83,917.69 × 13,824.08
  4. Step 4: Simplify right side
    55,944.01x = 1,160,085,192.55
  5. Step 5: Solve for x
    x = 1,160,085,192.55/55,944.01
  6. Step 6: Final answer
    x = 20,736.54

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