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Finding the Fourth Proportional to 75,839.96, 113,667.71 and 53,659.73

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Solution

The fourth proportional to 75,839.96, 113,667.71 and 53,659.73 is: 80,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,839.96 : 113,667.71 = 53,659.73 : x
  2. Step 2: Convert to fraction form
    75,839.96/113,667.71 = 53,659.73/x
  3. Step 3: Cross multiply
    75,839.96x = 113,667.71 × 53,659.73
  4. Step 4: Simplify right side
    75,839.96x = 6,099,378,644.19
  5. Step 5: Solve for x
    x = 6,099,378,644.19/75,839.96
  6. Step 6: Final answer
    x = 80,424.34

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1.5x scale

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.