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Finding the Fourth Proportional to 47,648.50, 71,472.75 and 19,946.50

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Solution

The fourth proportional to 47,648.50, 71,472.75 and 19,946.50 is: 29,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.50 : 71,472.75 = 19,946.50 : x
  2. Step 2: Convert to fraction form
    47,648.50/71,472.75 = 19,946.50/x
  3. Step 3: Cross multiply
    47,648.50x = 71,472.75 × 19,946.50
  4. Step 4: Simplify right side
    47,648.50x = 1,425,631,207.88
  5. Step 5: Solve for x
    x = 1,425,631,207.88/47,648.50
  6. Step 6: Final answer
    x = 29,919.75

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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.