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Finding the Fourth Proportional to 32,927, 49,394.84 and 10,732.60

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Solution

The fourth proportional to 32,927, 49,394.84 and 10,732.60 is: 16,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927 : 49,394.84 = 10,732.60 : x
  2. Step 2: Convert to fraction form
    32,927/49,394.84 = 10,732.60/x
  3. Step 3: Cross multiply
    32,927x = 49,394.84 × 10,732.60
  4. Step 4: Simplify right side
    32,927x = 530,135,059.78
  5. Step 5: Solve for x
    x = 530,135,059.78/32,927
  6. Step 6: Final answer
    x = 16,100.31

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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.