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Finding the Fourth Proportional to 33,664.50, 50,496.75 and 12,888

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Solution

The fourth proportional to 33,664.50, 50,496.75 and 12,888 is: 19,332

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664.50 : 50,496.75 = 12,888 : x
  2. Step 2: Convert to fraction form
    33,664.50/50,496.75 = 12,888/x
  3. Step 3: Cross multiply
    33,664.50x = 50,496.75 × 12,888
  4. Step 4: Simplify right side
    33,664.50x = 650,802,114
  5. Step 5: Solve for x
    x = 650,802,114/33,664.50
  6. Step 6: Final answer
    x = 19,332

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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.