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Finding the Fourth Proportional to 35,142.28, 48,496.50 and 19,227

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Solution

The fourth proportional to 35,142.28, 48,496.50 and 19,227 is: 26,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.28 : 48,496.50 = 19,227 : x
  2. Step 2: Convert to fraction form
    35,142.28/48,496.50 = 19,227/x
  3. Step 3: Cross multiply
    35,142.28x = 48,496.50 × 19,227
  4. Step 4: Simplify right side
    35,142.28x = 932,442,205.50
  5. Step 5: Solve for x
    x = 932,442,205.50/35,142.28
  6. Step 6: Final answer
    x = 26,533.34

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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.