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Finding the Fourth Proportional to 82,993.88, 114,531.26 and 47,183.90

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Solution

The fourth proportional to 82,993.88, 114,531.26 and 47,183.90 is: 65,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,993.88 : 114,531.26 = 47,183.90 : x
  2. Step 2: Convert to fraction form
    82,993.88/114,531.26 = 47,183.90/x
  3. Step 3: Cross multiply
    82,993.88x = 114,531.26 × 47,183.90
  4. Step 4: Simplify right side
    82,993.88x = 5,404,030,710.14
  5. Step 5: Solve for x
    x = 5,404,030,710.14/82,993.88
  6. Step 6: Final answer
    x = 65,113.60

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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.