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Finding the Fourth Proportional to 47,912.40, 71,883.90 and 14,638.86

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Solution

The fourth proportional to 47,912.40, 71,883.90 and 14,638.86 is: 21,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,912.40 : 71,883.90 = 14,638.86 : x
  2. Step 2: Convert to fraction form
    47,912.40/71,883.90 = 14,638.86/x
  3. Step 3: Cross multiply
    47,912.40x = 71,883.90 × 14,638.86
  4. Step 4: Simplify right side
    47,912.40x = 1,052,298,348.35
  5. Step 5: Solve for x
    x = 1,052,298,348.35/47,912.40
  6. Step 6: Final answer
    x = 21,962.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.