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Finding the Fourth Proportional to 97,574, 146,361.36 and 23,702

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Solution

The fourth proportional to 97,574, 146,361.36 and 23,702 is: 35,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,574 : 146,361.36 = 23,702 : x
  2. Step 2: Convert to fraction form
    97,574/146,361.36 = 23,702/x
  3. Step 3: Cross multiply
    97,574x = 146,361.36 × 23,702
  4. Step 4: Simplify right side
    97,574x = 3,469,056,954.72
  5. Step 5: Solve for x
    x = 3,469,056,954.72/97,574
  6. Step 6: Final answer
    x = 35,553.09

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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.