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Finding the Fourth Proportional to 47,846.40, 71,738.88 and 20,136.96

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Solution

The fourth proportional to 47,846.40, 71,738.88 and 20,136.96 is: 30,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846.40 : 71,738.88 = 20,136.96 : x
  2. Step 2: Convert to fraction form
    47,846.40/71,738.88 = 20,136.96/x
  3. Step 3: Cross multiply
    47,846.40x = 71,738.88 × 20,136.96
  4. Step 4: Simplify right side
    47,846.40x = 1,444,602,957.00
  5. Step 5: Solve for x
    x = 1,444,602,957.00/47,846.40
  6. Step 6: Final answer
    x = 30,192.51

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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.