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Finding the Fourth Proportional to 50,794.24, 70,092.16 and 28,435.20

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Solution

The fourth proportional to 50,794.24, 70,092.16 and 28,435.20 is: 39,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,794.24 : 70,092.16 = 28,435.20 : x
  2. Step 2: Convert to fraction form
    50,794.24/70,092.16 = 28,435.20/x
  3. Step 3: Cross multiply
    50,794.24x = 70,092.16 × 28,435.20
  4. Step 4: Simplify right side
    50,794.24x = 1,993,084,588.03
  5. Step 5: Solve for x
    x = 1,993,084,588.03/50,794.24
  6. Step 6: Final answer
    x = 39,238.40

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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.