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Finding the Fourth Proportional to 31,762.20, 47,627.91 and 9,571.44

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Solution

The fourth proportional to 31,762.20, 47,627.91 and 9,571.44 is: 14,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.20 : 47,627.91 = 9,571.44 : x
  2. Step 2: Convert to fraction form
    31,762.20/47,627.91 = 9,571.44/x
  3. Step 3: Cross multiply
    31,762.20x = 47,627.91 × 9,571.44
  4. Step 4: Simplify right side
    31,762.20x = 455,867,682.89
  5. Step 5: Solve for x
    x = 455,867,682.89/31,762.20
  6. Step 6: Final answer
    x = 14,352.52

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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.