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Finding the Fourth Proportional to 31,021.42, 42,813.71 and 17,597.54

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Solution

The fourth proportional to 31,021.42, 42,813.71 and 17,597.54 is: 24,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.42 : 42,813.71 = 17,597.54 : x
  2. Step 2: Convert to fraction form
    31,021.42/42,813.71 = 17,597.54/x
  3. Step 3: Cross multiply
    31,021.42x = 42,813.71 × 17,597.54
  4. Step 4: Simplify right side
    31,021.42x = 753,415,974.27
  5. Step 5: Solve for x
    x = 753,415,974.27/31,021.42
  6. Step 6: Final answer
    x = 24,286.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.