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Finding the Fourth Proportional to 50,057.25, 69,094.38 and 28,850.64

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Solution

The fourth proportional to 50,057.25, 69,094.38 and 28,850.64 is: 39,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,057.25 : 69,094.38 = 28,850.64 : x
  2. Step 2: Convert to fraction form
    50,057.25/69,094.38 = 28,850.64/x
  3. Step 3: Cross multiply
    50,057.25x = 69,094.38 × 28,850.64
  4. Step 4: Simplify right side
    50,057.25x = 1,993,417,083.40
  5. Step 5: Solve for x
    x = 1,993,417,083.40/50,057.25
  6. Step 6: Final answer
    x = 39,822.74

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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.