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Finding the Fourth Proportional to 35,589.12, 53,383.60 and 33,424

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Solution

The fourth proportional to 35,589.12, 53,383.60 and 33,424 is: 50,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,589.12 : 53,383.60 = 33,424 : x
  2. Step 2: Convert to fraction form
    35,589.12/53,383.60 = 33,424/x
  3. Step 3: Cross multiply
    35,589.12x = 53,383.60 × 33,424
  4. Step 4: Simplify right side
    35,589.12x = 1,784,293,446.40
  5. Step 5: Solve for x
    x = 1,784,293,446.40/35,589.12
  6. Step 6: Final answer
    x = 50,135.92

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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.