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Finding the Fourth Proportional to 57,197.89, 85,783.17 and 19,759.30

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Solution

The fourth proportional to 57,197.89, 85,783.17 and 19,759.30 is: 29,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.89 : 85,783.17 = 19,759.30 : x
  2. Step 2: Convert to fraction form
    57,197.89/85,783.17 = 19,759.30/x
  3. Step 3: Cross multiply
    57,197.89x = 85,783.17 × 19,759.30
  4. Step 4: Simplify right side
    57,197.89x = 1,695,015,390.98
  5. Step 5: Solve for x
    x = 1,695,015,390.98/57,197.89
  6. Step 6: Final answer
    x = 29,634.23

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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.