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Finding the Fourth Proportional to 97,632, 146,448 and 23,760

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Solution

The fourth proportional to 97,632, 146,448 and 23,760 is: 35,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,632 : 146,448 = 23,760 : x
  2. Step 2: Convert to fraction form
    97,632/146,448 = 23,760/x
  3. Step 3: Cross multiply
    97,632x = 146,448 × 23,760
  4. Step 4: Simplify right side
    97,632x = 3,479,604,480
  5. Step 5: Solve for x
    x = 3,479,604,480/97,632
  6. Step 6: Final answer
    x = 35,640

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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.