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Finding the Fourth Proportional to 31,107.70, 46,552.20 and 21,266.20

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Solution

The fourth proportional to 31,107.70, 46,552.20 and 21,266.20 is: 31,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.70 : 46,552.20 = 21,266.20 : x
  2. Step 2: Convert to fraction form
    31,107.70/46,552.20 = 21,266.20/x
  3. Step 3: Cross multiply
    31,107.70x = 46,552.20 × 21,266.20
  4. Step 4: Simplify right side
    31,107.70x = 989,988,395.64
  5. Step 5: Solve for x
    x = 989,988,395.64/31,107.70
  6. Step 6: Final answer
    x = 31,824.54

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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.