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Finding the Fourth Proportional to 32,674.31, 49,016.33 and 11,612.60

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Solution

The fourth proportional to 32,674.31, 49,016.33 and 11,612.60 is: 17,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.31 : 49,016.33 = 11,612.60 : x
  2. Step 2: Convert to fraction form
    32,674.31/49,016.33 = 11,612.60/x
  3. Step 3: Cross multiply
    32,674.31x = 49,016.33 × 11,612.60
  4. Step 4: Simplify right side
    32,674.31x = 569,207,033.76
  5. Step 5: Solve for x
    x = 569,207,033.76/32,674.31
  6. Step 6: Final answer
    x = 17,420.63

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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.