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Finding the Fourth Proportional to 32,033.67, 48,017.06 and 10,967.50

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Solution

The fourth proportional to 32,033.67, 48,017.06 and 10,967.50 is: 16,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.67 : 48,017.06 = 10,967.50 : x
  2. Step 2: Convert to fraction form
    32,033.67/48,017.06 = 10,967.50/x
  3. Step 3: Cross multiply
    32,033.67x = 48,017.06 × 10,967.50
  4. Step 4: Simplify right side
    32,033.67x = 526,627,105.55
  5. Step 5: Solve for x
    x = 526,627,105.55/32,033.67
  6. Step 6: Final answer
    x = 16,439.80

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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.