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Finding the Fourth Proportional to 31,708.45, 47,563.08 and 9,520.54

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Solution

The fourth proportional to 31,708.45, 47,563.08 and 9,520.54 is: 14,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.45 : 47,563.08 = 9,520.54 : x
  2. Step 2: Convert to fraction form
    31,708.45/47,563.08 = 9,520.54/x
  3. Step 3: Cross multiply
    31,708.45x = 47,563.08 × 9,520.54
  4. Step 4: Simplify right side
    31,708.45x = 452,826,205.66
  5. Step 5: Solve for x
    x = 452,826,205.66/31,708.45
  6. Step 6: Final answer
    x = 14,280.93

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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.