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Finding the Fourth Proportional to 47,893.98, 71,823.69 and 20,194.14

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Solution

The fourth proportional to 47,893.98, 71,823.69 and 20,194.14 is: 30,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,893.98 : 71,823.69 = 20,194.14 : x
  2. Step 2: Convert to fraction form
    47,893.98/71,823.69 = 20,194.14/x
  3. Step 3: Cross multiply
    47,893.98x = 71,823.69 × 20,194.14
  4. Step 4: Simplify right side
    47,893.98x = 1,450,417,651.18
  5. Step 5: Solve for x
    x = 1,450,417,651.18/47,893.98
  6. Step 6: Final answer
    x = 30,283.92

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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.