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Finding the Fourth Proportional to 31,650.89, 47,485.85 and 9,464.99

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Solution

The fourth proportional to 31,650.89, 47,485.85 and 9,464.99 is: 14,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.89 : 47,485.85 = 9,464.99 : x
  2. Step 2: Convert to fraction form
    31,650.89/47,485.85 = 9,464.99/x
  3. Step 3: Cross multiply
    31,650.89x = 47,485.85 × 9,464.99
  4. Step 4: Simplify right side
    31,650.89x = 449,452,810.64
  5. Step 5: Solve for x
    x = 449,452,810.64/31,650.89
  6. Step 6: Final answer
    x = 14,200.32

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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.