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Finding the Fourth Proportional to 31,653.44, 47,485.44 and 14,122.61

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Solution

The fourth proportional to 31,653.44, 47,485.44 and 14,122.61 is: 21,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.44 : 47,485.44 = 14,122.61 : x
  2. Step 2: Convert to fraction form
    31,653.44/47,485.44 = 14,122.61/x
  3. Step 3: Cross multiply
    31,653.44x = 47,485.44 × 14,122.61
  4. Step 4: Simplify right side
    31,653.44x = 670,618,349.80
  5. Step 5: Solve for x
    x = 670,618,349.80/31,653.44
  6. Step 6: Final answer
    x = 21,186.27

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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.