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Finding the Fourth Proportional to 31,227.40, 46,862.70 and 22,468.60

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Solution

The fourth proportional to 31,227.40, 46,862.70 and 22,468.60 is: 33,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.40 : 46,862.70 = 22,468.60 : x
  2. Step 2: Convert to fraction form
    31,227.40/46,862.70 = 22,468.60/x
  3. Step 3: Cross multiply
    31,227.40x = 46,862.70 × 22,468.60
  4. Step 4: Simplify right side
    31,227.40x = 1,052,939,261.22
  5. Step 5: Solve for x
    x = 1,052,939,261.22/31,227.40
  6. Step 6: Final answer
    x = 33,718.44

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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.