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Finding the Fourth Proportional to 51,893.84, 71,583.66 and 32,766.81

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Solution

The fourth proportional to 51,893.84, 71,583.66 and 32,766.81 is: 45,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,893.84 : 71,583.66 = 32,766.81 : x
  2. Step 2: Convert to fraction form
    51,893.84/71,583.66 = 32,766.81/x
  3. Step 3: Cross multiply
    51,893.84x = 71,583.66 × 32,766.81
  4. Step 4: Simplify right side
    51,893.84x = 2,345,568,186.32
  5. Step 5: Solve for x
    x = 2,345,568,186.32/51,893.84
  6. Step 6: Final answer
    x = 45,199.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.