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Finding the Fourth Proportional to 35,969.96, 49,638.34 and 20,054.60

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Solution

The fourth proportional to 35,969.96, 49,638.34 and 20,054.60 is: 27,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969.96 : 49,638.34 = 20,054.60 : x
  2. Step 2: Convert to fraction form
    35,969.96/49,638.34 = 20,054.60/x
  3. Step 3: Cross multiply
    35,969.96x = 49,638.34 × 20,054.60
  4. Step 4: Simplify right side
    35,969.96x = 995,477,053.36
  5. Step 5: Solve for x
    x = 995,477,053.36/35,969.96
  6. Step 6: Final answer
    x = 27,675.23

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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.