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Finding the Fourth Proportional to 30,364.96, 41,902.72 and 16,936.16

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Solution

The fourth proportional to 30,364.96, 41,902.72 and 16,936.16 is: 23,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.96 : 41,902.72 = 16,936.16 : x
  2. Step 2: Convert to fraction form
    30,364.96/41,902.72 = 16,936.16/x
  3. Step 3: Cross multiply
    30,364.96x = 41,902.72 × 16,936.16
  4. Step 4: Simplify right side
    30,364.96x = 709,671,170.36
  5. Step 5: Solve for x
    x = 709,671,170.36/30,364.96
  6. Step 6: Final answer
    x = 23,371.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.