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Finding the Fourth Proportional to 31,655.78, 47,449.50 and 20,570.42

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Solution

The fourth proportional to 31,655.78, 47,449.50 and 20,570.42 is: 30,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.78 : 47,449.50 = 20,570.42 : x
  2. Step 2: Convert to fraction form
    31,655.78/47,449.50 = 20,570.42/x
  3. Step 3: Cross multiply
    31,655.78x = 47,449.50 × 20,570.42
  4. Step 4: Simplify right side
    31,655.78x = 976,056,185.27
  5. Step 5: Solve for x
    x = 976,056,185.27/31,655.78
  6. Step 6: Final answer
    x = 30,833.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.