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Finding the Fourth Proportional to 50,383.44, 75,571.56 and 15,321

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Solution

The fourth proportional to 50,383.44, 75,571.56 and 15,321 is: 22,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,383.44 : 75,571.56 = 15,321 : x
  2. Step 2: Convert to fraction form
    50,383.44/75,571.56 = 15,321/x
  3. Step 3: Cross multiply
    50,383.44x = 75,571.56 × 15,321
  4. Step 4: Simplify right side
    50,383.44x = 1,157,831,870.76
  5. Step 5: Solve for x
    x = 1,157,831,870.76/50,383.44
  6. Step 6: Final answer
    x = 22,980.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.