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Finding the Fourth Proportional to 32,020.69, 48,033.34 and 12,299.25

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Solution

The fourth proportional to 32,020.69, 48,033.34 and 12,299.25 is: 18,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.69 : 48,033.34 = 12,299.25 : x
  2. Step 2: Convert to fraction form
    32,020.69/48,033.34 = 12,299.25/x
  3. Step 3: Cross multiply
    32,020.69x = 48,033.34 × 12,299.25
  4. Step 4: Simplify right side
    32,020.69x = 590,773,816.83
  5. Step 5: Solve for x
    x = 590,773,816.83/32,020.69
  6. Step 6: Final answer
    x = 18,449.75

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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.