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Finding the Fourth Proportional to 31,012.20, 42,806.44 and 23,065.19

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Solution

The fourth proportional to 31,012.20, 42,806.44 and 23,065.19 is: 31,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.20 : 42,806.44 = 23,065.19 : x
  2. Step 2: Convert to fraction form
    31,012.20/42,806.44 = 23,065.19/x
  3. Step 3: Cross multiply
    31,012.20x = 42,806.44 × 23,065.19
  4. Step 4: Simplify right side
    31,012.20x = 987,338,671.82
  5. Step 5: Solve for x
    x = 987,338,671.82/31,012.20
  6. Step 6: Final answer
    x = 31,837.11

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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.