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Finding the Fourth Proportional to 32,185.69, 48,285.83 and 11,409.19

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Solution

The fourth proportional to 32,185.69, 48,285.83 and 11,409.19 is: 17,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.69 : 48,285.83 = 11,409.19 : x
  2. Step 2: Convert to fraction form
    32,185.69/48,285.83 = 11,409.19/x
  3. Step 3: Cross multiply
    32,185.69x = 48,285.83 × 11,409.19
  4. Step 4: Simplify right side
    32,185.69x = 550,902,116.59
  5. Step 5: Solve for x
    x = 550,902,116.59/32,185.69
  6. Step 6: Final answer
    x = 17,116.37

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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.