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Finding the Fourth Proportional to 27,825.60, 41,738.39 and 6,765.50

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Solution

The fourth proportional to 27,825.60, 41,738.39 and 6,765.50 is: 10,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.60 : 41,738.39 = 6,765.50 : x
  2. Step 2: Convert to fraction form
    27,825.60/41,738.39 = 6,765.50/x
  3. Step 3: Cross multiply
    27,825.60x = 41,738.39 × 6,765.50
  4. Step 4: Simplify right side
    27,825.60x = 282,381,077.55
  5. Step 5: Solve for x
    x = 282,381,077.55/27,825.60
  6. Step 6: Final answer
    x = 10,148.25

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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.