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Finding the Fourth Proportional to 33,507, 50,260.50 and 8,883

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Solution

The fourth proportional to 33,507, 50,260.50 and 8,883 is: 13,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507 : 50,260.50 = 8,883 : x
  2. Step 2: Convert to fraction form
    33,507/50,260.50 = 8,883/x
  3. Step 3: Cross multiply
    33,507x = 50,260.50 × 8,883
  4. Step 4: Simplify right side
    33,507x = 446,464,021.50
  5. Step 5: Solve for x
    x = 446,464,021.50/33,507
  6. Step 6: Final answer
    x = 13,324.50

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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.