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Finding the Fourth Proportional to 65,846.53, 90,868.63 and 38,617.06

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Solution

The fourth proportional to 65,846.53, 90,868.63 and 38,617.06 is: 53,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846.53 : 90,868.63 = 38,617.06 : x
  2. Step 2: Convert to fraction form
    65,846.53/90,868.63 = 38,617.06/x
  3. Step 3: Cross multiply
    65,846.53x = 90,868.63 × 38,617.06
  4. Step 4: Simplify right side
    65,846.53x = 3,509,079,183.49
  5. Step 5: Solve for x
    x = 3,509,079,183.49/65,846.53
  6. Step 6: Final answer
    x = 53,291.79

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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.