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Finding the Fourth Proportional to 35,971.40, 49,638.20 and 20,054.90

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Solution

The fourth proportional to 35,971.40, 49,638.20 and 20,054.90 is: 27,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.40 : 49,638.20 = 20,054.90 : x
  2. Step 2: Convert to fraction form
    35,971.40/49,638.20 = 20,054.90/x
  3. Step 3: Cross multiply
    35,971.40x = 49,638.20 × 20,054.90
  4. Step 4: Simplify right side
    35,971.40x = 995,489,137.18
  5. Step 5: Solve for x
    x = 995,489,137.18/35,971.40
  6. Step 6: Final answer
    x = 27,674.46

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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.