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Finding the Fourth Proportional to 97,510, 146,265 and 23,638

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Solution

The fourth proportional to 97,510, 146,265 and 23,638 is: 35,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,510 : 146,265 = 23,638 : x
  2. Step 2: Convert to fraction form
    97,510/146,265 = 23,638/x
  3. Step 3: Cross multiply
    97,510x = 146,265 × 23,638
  4. Step 4: Simplify right side
    97,510x = 3,457,412,070
  5. Step 5: Solve for x
    x = 3,457,412,070/97,510
  6. Step 6: Final answer
    x = 35,457

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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.