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Finding the Fourth Proportional to 49,076.44, 73,575.66 and 21,355

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Solution

The fourth proportional to 49,076.44, 73,575.66 and 21,355 is: 32,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076.44 : 73,575.66 = 21,355 : x
  2. Step 2: Convert to fraction form
    49,076.44/73,575.66 = 21,355/x
  3. Step 3: Cross multiply
    49,076.44x = 73,575.66 × 21,355
  4. Step 4: Simplify right side
    49,076.44x = 1,571,208,219.30
  5. Step 5: Solve for x
    x = 1,571,208,219.30/49,076.44
  6. Step 6: Final answer
    x = 32,015.53

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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.