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Finding the Fourth Proportional to 33,415, 50,083.62 and 13,669.63

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Solution

The fourth proportional to 33,415, 50,083.62 and 13,669.63 is: 20,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415 : 50,083.62 = 13,669.63 : x
  2. Step 2: Convert to fraction form
    33,415/50,083.62 = 13,669.63/x
  3. Step 3: Cross multiply
    33,415x = 50,083.62 × 13,669.63
  4. Step 4: Simplify right side
    33,415x = 684,624,554.46
  5. Step 5: Solve for x
    x = 684,624,554.46/33,415
  6. Step 6: Final answer
    x = 20,488.54

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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.