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Finding the Fourth Proportional to 32,883.26, 49,312.73 and 11,817.63

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Solution

The fourth proportional to 32,883.26, 49,312.73 and 11,817.63 is: 17,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.26 : 49,312.73 = 11,817.63 : x
  2. Step 2: Convert to fraction form
    32,883.26/49,312.73 = 11,817.63/x
  3. Step 3: Cross multiply
    32,883.26x = 49,312.73 × 11,817.63
  4. Step 4: Simplify right side
    32,883.26x = 582,759,626.97
  5. Step 5: Solve for x
    x = 582,759,626.97/32,883.26
  6. Step 6: Final answer
    x = 17,722.08

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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.