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Finding the Fourth Proportional to 33,502, 50,256.44 and 8,878

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Solution

The fourth proportional to 33,502, 50,256.44 and 8,878 is: 13,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502 : 50,256.44 = 8,878 : x
  2. Step 2: Convert to fraction form
    33,502/50,256.44 = 8,878/x
  3. Step 3: Cross multiply
    33,502x = 50,256.44 × 8,878
  4. Step 4: Simplify right side
    33,502x = 446,176,674.32
  5. Step 5: Solve for x
    x = 446,176,674.32/33,502
  6. Step 6: Final answer
    x = 13,317.91

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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.