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Finding the Fourth Proportional to 90,126.84, 135,208.26 and 27,795

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Solution

The fourth proportional to 90,126.84, 135,208.26 and 27,795 is: 41,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,126.84 : 135,208.26 = 27,795 : x
  2. Step 2: Convert to fraction form
    90,126.84/135,208.26 = 27,795/x
  3. Step 3: Cross multiply
    90,126.84x = 135,208.26 × 27,795
  4. Step 4: Simplify right side
    90,126.84x = 3,758,113,586.70
  5. Step 5: Solve for x
    x = 3,758,113,586.70/90,126.84
  6. Step 6: Final answer
    x = 41,698.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.