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Finding the Fourth Proportional to 50,453, 69,625.16 and 28,097

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Solution

The fourth proportional to 50,453, 69,625.16 and 28,097 is: 38,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,453 : 69,625.16 = 28,097 : x
  2. Step 2: Convert to fraction form
    50,453/69,625.16 = 28,097/x
  3. Step 3: Cross multiply
    50,453x = 69,625.16 × 28,097
  4. Step 4: Simplify right side
    50,453x = 1,956,258,120.52
  5. Step 5: Solve for x
    x = 1,956,258,120.52/50,453
  6. Step 6: Final answer
    x = 38,773.87

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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.