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Finding the Fourth Proportional to 32,673.31, 49,014.83 and 11,611.60

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Solution

The fourth proportional to 32,673.31, 49,014.83 and 11,611.60 is: 17,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,673.31 : 49,014.83 = 11,611.60 : x
  2. Step 2: Convert to fraction form
    32,673.31/49,014.83 = 11,611.60/x
  3. Step 3: Cross multiply
    32,673.31x = 49,014.83 × 11,611.60
  4. Step 4: Simplify right side
    32,673.31x = 569,140,600.03
  5. Step 5: Solve for x
    x = 569,140,600.03/32,673.31
  6. Step 6: Final answer
    x = 17,419.13

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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.