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Finding the Fourth Proportional to 31,923.50, 47,885.22 and 14,372.82

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Solution

The fourth proportional to 31,923.50, 47,885.22 and 14,372.82 is: 21,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923.50 : 47,885.22 = 14,372.82 : x
  2. Step 2: Convert to fraction form
    31,923.50/47,885.22 = 14,372.82/x
  3. Step 3: Cross multiply
    31,923.50x = 47,885.22 × 14,372.82
  4. Step 4: Simplify right side
    31,923.50x = 688,245,647.72
  5. Step 5: Solve for x
    x = 688,245,647.72/31,923.50
  6. Step 6: Final answer
    x = 21,559.22

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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.