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Finding the Fourth Proportional to 31,905.86, 47,865.62 and 9,721.02

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Solution

The fourth proportional to 31,905.86, 47,865.62 and 9,721.02 is: 14,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905.86 : 47,865.62 = 9,721.02 : x
  2. Step 2: Convert to fraction form
    31,905.86/47,865.62 = 9,721.02/x
  3. Step 3: Cross multiply
    31,905.86x = 47,865.62 × 9,721.02
  4. Step 4: Simplify right side
    31,905.86x = 465,302,600.73
  5. Step 5: Solve for x
    x = 465,302,600.73/31,905.86
  6. Step 6: Final answer
    x = 14,583.61

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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.