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Finding the Fourth Proportional to 47,183.38, 65,114.38 and 25,674.44

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Solution

The fourth proportional to 47,183.38, 65,114.38 and 25,674.44 is: 35,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,183.38 : 65,114.38 = 25,674.44 : x
  2. Step 2: Convert to fraction form
    47,183.38/65,114.38 = 25,674.44/x
  3. Step 3: Cross multiply
    47,183.38x = 65,114.38 × 25,674.44
  4. Step 4: Simplify right side
    47,183.38x = 1,671,774,948.97
  5. Step 5: Solve for x
    x = 1,671,774,948.97/47,183.38
  6. Step 6: Final answer
    x = 35,431.44

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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.