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Finding the Fourth Proportional to 39,696, 59,546.16 and 11,996.16

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Solution

The fourth proportional to 39,696, 59,546.16 and 11,996.16 is: 17,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696 : 59,546.16 = 11,996.16 : x
  2. Step 2: Convert to fraction form
    39,696/59,546.16 = 11,996.16/x
  3. Step 3: Cross multiply
    39,696x = 59,546.16 × 11,996.16
  4. Step 4: Simplify right side
    39,696x = 714,325,262.75
  5. Step 5: Solve for x
    x = 714,325,262.75/39,696
  6. Step 6: Final answer
    x = 17,994.89

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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.