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Finding the Fourth Proportional to 37,034.75, 51,108.36 and 20,267.75

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Solution

The fourth proportional to 37,034.75, 51,108.36 and 20,267.75 is: 27,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,034.75 : 51,108.36 = 20,267.75 : x
  2. Step 2: Convert to fraction form
    37,034.75/51,108.36 = 20,267.75/x
  3. Step 3: Cross multiply
    37,034.75x = 51,108.36 × 20,267.75
  4. Step 4: Simplify right side
    37,034.75x = 1,035,851,463.39
  5. Step 5: Solve for x
    x = 1,035,851,463.39/37,034.75
  6. Step 6: Final answer
    x = 27,969.72

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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.