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Finding the Fourth Proportional to 97,504, 146,256 and 23,632

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Solution

The fourth proportional to 97,504, 146,256 and 23,632 is: 35,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,504 : 146,256 = 23,632 : x
  2. Step 2: Convert to fraction form
    97,504/146,256 = 23,632/x
  3. Step 3: Cross multiply
    97,504x = 146,256 × 23,632
  4. Step 4: Simplify right side
    97,504x = 3,456,321,792
  5. Step 5: Solve for x
    x = 3,456,321,792/97,504
  6. Step 6: Final answer
    x = 35,448

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.