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Finding the Fourth Proportional to 57,431.80, 86,147.16 and 19,991.80

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Solution

The fourth proportional to 57,431.80, 86,147.16 and 19,991.80 is: 29,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,431.80 : 86,147.16 = 19,991.80 : x
  2. Step 2: Convert to fraction form
    57,431.80/86,147.16 = 19,991.80/x
  3. Step 3: Cross multiply
    57,431.80x = 86,147.16 × 19,991.80
  4. Step 4: Simplify right side
    57,431.80x = 1,722,236,793.29
  5. Step 5: Solve for x
    x = 1,722,236,793.29/57,431.80
  6. Step 6: Final answer
    x = 29,987.51

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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.