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Finding the Fourth Proportional to 37,035, 51,108.30 and 20,268

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Solution

The fourth proportional to 37,035, 51,108.30 and 20,268 is: 27,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,035 : 51,108.30 = 20,268 : x
  2. Step 2: Convert to fraction form
    37,035/51,108.30 = 20,268/x
  3. Step 3: Cross multiply
    37,035x = 51,108.30 × 20,268
  4. Step 4: Simplify right side
    37,035x = 1,035,863,024.40
  5. Step 5: Solve for x
    x = 1,035,863,024.40/37,035
  6. Step 6: Final answer
    x = 27,969.84

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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.