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Finding the Fourth Proportional to 31,275.37, 46,880.25 and 22,942.90

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Solution

The fourth proportional to 31,275.37, 46,880.25 and 22,942.90 is: 34,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275.37 : 46,880.25 = 22,942.90 : x
  2. Step 2: Convert to fraction form
    31,275.37/46,880.25 = 22,942.90/x
  3. Step 3: Cross multiply
    31,275.37x = 46,880.25 × 22,942.90
  4. Step 4: Simplify right side
    31,275.37x = 1,075,568,887.73
  5. Step 5: Solve for x
    x = 1,075,568,887.73/31,275.37
  6. Step 6: Final answer
    x = 34,390.28

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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.