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Finding the Fourth Proportional to 47,709.83, 71,576.39 and 33,697.24

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Solution

The fourth proportional to 47,709.83, 71,576.39 and 33,697.24 is: 50,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.83 : 71,576.39 = 33,697.24 : x
  2. Step 2: Convert to fraction form
    47,709.83/71,576.39 = 33,697.24/x
  3. Step 3: Cross multiply
    47,709.83x = 71,576.39 × 33,697.24
  4. Step 4: Simplify right side
    47,709.83x = 2,411,926,697.47
  5. Step 5: Solve for x
    x = 2,411,926,697.47/47,709.83
  6. Step 6: Final answer
    x = 50,554.08

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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.