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Finding the Fourth Proportional to 35,893.68, 53,836.20 and 9,600.48

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Solution

The fourth proportional to 35,893.68, 53,836.20 and 9,600.48 is: 14,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.68 : 53,836.20 = 9,600.48 : x
  2. Step 2: Convert to fraction form
    35,893.68/53,836.20 = 9,600.48/x
  3. Step 3: Cross multiply
    35,893.68x = 53,836.20 × 9,600.48
  4. Step 4: Simplify right side
    35,893.68x = 516,853,361.38
  5. Step 5: Solve for x
    x = 516,853,361.38/35,893.68
  6. Step 6: Final answer
    x = 14,399.56

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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.