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Finding the Fourth Proportional to 42,033.56, 58,006.26 and 23,171

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Solution

The fourth proportional to 42,033.56, 58,006.26 and 23,171 is: 31,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,033.56 : 58,006.26 = 23,171 : x
  2. Step 2: Convert to fraction form
    42,033.56/58,006.26 = 23,171/x
  3. Step 3: Cross multiply
    42,033.56x = 58,006.26 × 23,171
  4. Step 4: Simplify right side
    42,033.56x = 1,344,063,050.46
  5. Step 5: Solve for x
    x = 1,344,063,050.46/42,033.56
  6. Step 6: Final answer
    x = 31,975.95

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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.