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Finding the Fourth Proportional to 32,647, 45,052.86 and 19,399

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Solution

The fourth proportional to 32,647, 45,052.86 and 19,399 is: 26,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647 : 45,052.86 = 19,399 : x
  2. Step 2: Convert to fraction form
    32,647/45,052.86 = 19,399/x
  3. Step 3: Cross multiply
    32,647x = 45,052.86 × 19,399
  4. Step 4: Simplify right side
    32,647x = 873,980,431.14
  5. Step 5: Solve for x
    x = 873,980,431.14/32,647
  6. Step 6: Final answer
    x = 26,770.62

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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.