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Finding the Fourth Proportional to 35,949.96, 49,611.02 and 20,034.09

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Solution

The fourth proportional to 35,949.96, 49,611.02 and 20,034.09 is: 27,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949.96 : 49,611.02 = 20,034.09 : x
  2. Step 2: Convert to fraction form
    35,949.96/49,611.02 = 20,034.09/x
  3. Step 3: Cross multiply
    35,949.96x = 49,611.02 × 20,034.09
  4. Step 4: Simplify right side
    35,949.96x = 993,911,539.50
  5. Step 5: Solve for x
    x = 993,911,539.50/35,949.96
  6. Step 6: Final answer
    x = 27,647.08

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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.