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Finding the Fourth Proportional to 57,853.82, 86,793.75 and 20,416.56

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Solution

The fourth proportional to 57,853.82, 86,793.75 and 20,416.56 is: 30,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853.82 : 86,793.75 = 20,416.56 : x
  2. Step 2: Convert to fraction form
    57,853.82/86,793.75 = 20,416.56/x
  3. Step 3: Cross multiply
    57,853.82x = 86,793.75 × 20,416.56
  4. Step 4: Simplify right side
    57,853.82x = 1,772,029,804.50
  5. Step 5: Solve for x
    x = 1,772,029,804.50/57,853.82
  6. Step 6: Final answer
    x = 30,629.44

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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.