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Finding the Fourth Proportional to 31,885.48, 47,840.22 and 14,342.44

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Solution

The fourth proportional to 31,885.48, 47,840.22 and 14,342.44 is: 21,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.48 : 47,840.22 = 14,342.44 : x
  2. Step 2: Convert to fraction form
    31,885.48/47,840.22 = 14,342.44/x
  3. Step 3: Cross multiply
    31,885.48x = 47,840.22 × 14,342.44
  4. Step 4: Simplify right side
    31,885.48x = 686,145,484.94
  5. Step 5: Solve for x
    x = 686,145,484.94/31,885.48
  6. Step 6: Final answer
    x = 21,519.06

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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.