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Finding the Fourth Proportional to 32,683.35, 49,033.56 and 9,311.61

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Solution

The fourth proportional to 32,683.35, 49,033.56 and 9,311.61 is: 13,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.35 : 49,033.56 = 9,311.61 : x
  2. Step 2: Convert to fraction form
    32,683.35/49,033.56 = 9,311.61/x
  3. Step 3: Cross multiply
    32,683.35x = 49,033.56 × 9,311.61
  4. Step 4: Simplify right side
    32,683.35x = 456,581,387.63
  5. Step 5: Solve for x
    x = 456,581,387.63/32,683.35
  6. Step 6: Final answer
    x = 13,969.85

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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.