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Finding the Fourth Proportional to 47,576.94, 71,365.41 and 19,855.50

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Solution

The fourth proportional to 47,576.94, 71,365.41 and 19,855.50 is: 29,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576.94 : 71,365.41 = 19,855.50 : x
  2. Step 2: Convert to fraction form
    47,576.94/71,365.41 = 19,855.50/x
  3. Step 3: Cross multiply
    47,576.94x = 71,365.41 × 19,855.50
  4. Step 4: Simplify right side
    47,576.94x = 1,416,995,898.26
  5. Step 5: Solve for x
    x = 1,416,995,898.26/47,576.94
  6. Step 6: Final answer
    x = 29,783.25

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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.