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Finding the Fourth Proportional to 65,827, 90,758.91 and 54,940.87

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Solution

The fourth proportional to 65,827, 90,758.91 and 54,940.87 is: 75,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827 : 90,758.91 = 54,940.87 : x
  2. Step 2: Convert to fraction form
    65,827/90,758.91 = 54,940.87/x
  3. Step 3: Cross multiply
    65,827x = 90,758.91 × 54,940.87
  4. Step 4: Simplify right side
    65,827x = 4,986,373,475.65
  5. Step 5: Solve for x
    x = 4,986,373,475.65/65,827
  6. Step 6: Final answer
    x = 75,749.67

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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.