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Finding the Fourth Proportional to 31,047.60, 46,571.40 and 22,364.40

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Solution

The fourth proportional to 31,047.60, 46,571.40 and 22,364.40 is: 33,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.60 : 46,571.40 = 22,364.40 : x
  2. Step 2: Convert to fraction form
    31,047.60/46,571.40 = 22,364.40/x
  3. Step 3: Cross multiply
    31,047.60x = 46,571.40 × 22,364.40
  4. Step 4: Simplify right side
    31,047.60x = 1,041,541,418.16
  5. Step 5: Solve for x
    x = 1,041,541,418.16/31,047.60
  6. Step 6: Final answer
    x = 33,546.60

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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.