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Finding the Fourth Proportional to 31,548.80, 47,323.20 and 23,675.60

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Solution

The fourth proportional to 31,548.80, 47,323.20 and 23,675.60 is: 35,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.80 : 47,323.20 = 23,675.60 : x
  2. Step 2: Convert to fraction form
    31,548.80/47,323.20 = 23,675.60/x
  3. Step 3: Cross multiply
    31,548.80x = 47,323.20 × 23,675.60
  4. Step 4: Simplify right side
    31,548.80x = 1,120,405,153.92
  5. Step 5: Solve for x
    x = 1,120,405,153.92/31,548.80
  6. Step 6: Final answer
    x = 35,513.40

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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.