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Finding the Fourth Proportional to 31,705.69, 47,559 and 15,067.42

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Solution

The fourth proportional to 31,705.69, 47,559 and 15,067.42 is: 22,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.69 : 47,559 = 15,067.42 : x
  2. Step 2: Convert to fraction form
    31,705.69/47,559 = 15,067.42/x
  3. Step 3: Cross multiply
    31,705.69x = 47,559 × 15,067.42
  4. Step 4: Simplify right side
    31,705.69x = 716,591,427.78
  5. Step 5: Solve for x
    x = 716,591,427.78/31,705.69
  6. Step 6: Final answer
    x = 22,601.35

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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.