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Finding the Fourth Proportional to 97,512, 146,268 and 23,640

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Solution

The fourth proportional to 97,512, 146,268 and 23,640 is: 35,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,512 : 146,268 = 23,640 : x
  2. Step 2: Convert to fraction form
    97,512/146,268 = 23,640/x
  3. Step 3: Cross multiply
    97,512x = 146,268 × 23,640
  4. Step 4: Simplify right side
    97,512x = 3,457,775,520
  5. Step 5: Solve for x
    x = 3,457,775,520/97,512
  6. Step 6: Final answer
    x = 35,460

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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.