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Finding the Fourth Proportional to 47,378.49, 71,043.94 and 15,777.42

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Solution

The fourth proportional to 47,378.49, 71,043.94 and 15,777.42 is: 23,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,378.49 : 71,043.94 = 15,777.42 : x
  2. Step 2: Convert to fraction form
    47,378.49/71,043.94 = 15,777.42/x
  3. Step 3: Cross multiply
    47,378.49x = 71,043.94 × 15,777.42
  4. Step 4: Simplify right side
    47,378.49x = 1,120,890,079.83
  5. Step 5: Solve for x
    x = 1,120,890,079.83/47,378.49
  6. Step 6: Final answer
    x = 23,658.21

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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.