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Finding the Fourth Proportional to 33,584, 50,376.16 and 8,960

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Solution

The fourth proportional to 33,584, 50,376.16 and 8,960 is: 13,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584 : 50,376.16 = 8,960 : x
  2. Step 2: Convert to fraction form
    33,584/50,376.16 = 8,960/x
  3. Step 3: Cross multiply
    33,584x = 50,376.16 × 8,960
  4. Step 4: Simplify right side
    33,584x = 451,370,393.60
  5. Step 5: Solve for x
    x = 451,370,393.60/33,584
  6. Step 6: Final answer
    x = 13,440.04

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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.