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Finding the Fourth Proportional to 65,674.75, 90,626.01 and 36,993.16

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Solution

The fourth proportional to 65,674.75, 90,626.01 and 36,993.16 is: 51,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674.75 : 90,626.01 = 36,993.16 : x
  2. Step 2: Convert to fraction form
    65,674.75/90,626.01 = 36,993.16/x
  3. Step 3: Cross multiply
    65,674.75x = 90,626.01 × 36,993.16
  4. Step 4: Simplify right side
    65,674.75x = 3,352,542,265.01
  5. Step 5: Solve for x
    x = 3,352,542,265.01/65,674.75
  6. Step 6: Final answer
    x = 51,047.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.