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Finding the Fourth Proportional to 35,846.68, 53,768.80 and 13,659.27

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Solution

The fourth proportional to 35,846.68, 53,768.80 and 13,659.27 is: 20,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846.68 : 53,768.80 = 13,659.27 : x
  2. Step 2: Convert to fraction form
    35,846.68/53,768.80 = 13,659.27/x
  3. Step 3: Cross multiply
    35,846.68x = 53,768.80 × 13,659.27
  4. Step 4: Simplify right side
    35,846.68x = 734,442,556.78
  5. Step 5: Solve for x
    x = 734,442,556.78/35,846.68
  6. Step 6: Final answer
    x = 20,488.44

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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.