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Finding the Fourth Proportional to 31,532.68, 43,702.94 and 30,942.19

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Solution

The fourth proportional to 31,532.68, 43,702.94 and 30,942.19 is: 42,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.68 : 43,702.94 = 30,942.19 : x
  2. Step 2: Convert to fraction form
    31,532.68/43,702.94 = 30,942.19/x
  3. Step 3: Cross multiply
    31,532.68x = 43,702.94 × 30,942.19
  4. Step 4: Simplify right side
    31,532.68x = 1,352,264,828.95
  5. Step 5: Solve for x
    x = 1,352,264,828.95/31,532.68
  6. Step 6: Final answer
    x = 42,884.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.