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Finding the Fourth Proportional to 31,650.86, 47,476.74 and 8,277.30

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Solution

The fourth proportional to 31,650.86, 47,476.74 and 8,277.30 is: 12,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.86 : 47,476.74 = 8,277.30 : x
  2. Step 2: Convert to fraction form
    31,650.86/47,476.74 = 8,277.30/x
  3. Step 3: Cross multiply
    31,650.86x = 47,476.74 × 8,277.30
  4. Step 4: Simplify right side
    31,650.86x = 392,979,220.00
  5. Step 5: Solve for x
    x = 392,979,220.00/31,650.86
  6. Step 6: Final answer
    x = 12,416.07

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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.