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Finding the Fourth Proportional to 35,318, 48,745.32 and 20,414

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Solution

The fourth proportional to 35,318, 48,745.32 and 20,414 is: 28,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,318 : 48,745.32 = 20,414 : x
  2. Step 2: Convert to fraction form
    35,318/48,745.32 = 20,414/x
  3. Step 3: Cross multiply
    35,318x = 48,745.32 × 20,414
  4. Step 4: Simplify right side
    35,318x = 995,086,962.48
  5. Step 5: Solve for x
    x = 995,086,962.48/35,318
  6. Step 6: Final answer
    x = 28,175.07

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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.