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Finding the Fourth Proportional to 97,994.40, 146,991.60 and 27,864.60

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Solution

The fourth proportional to 97,994.40, 146,991.60 and 27,864.60 is: 41,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,994.40 : 146,991.60 = 27,864.60 : x
  2. Step 2: Convert to fraction form
    97,994.40/146,991.60 = 27,864.60/x
  3. Step 3: Cross multiply
    97,994.40x = 146,991.60 × 27,864.60
  4. Step 4: Simplify right side
    97,994.40x = 4,095,862,137.36
  5. Step 5: Solve for x
    x = 4,095,862,137.36/97,994.40
  6. Step 6: Final answer
    x = 41,796.90

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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.