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Finding the Fourth Proportional to 43,632, 60,212.16 and 23,760

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Solution

The fourth proportional to 43,632, 60,212.16 and 23,760 is: 32,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,632 : 60,212.16 = 23,760 : x
  2. Step 2: Convert to fraction form
    43,632/60,212.16 = 23,760/x
  3. Step 3: Cross multiply
    43,632x = 60,212.16 × 23,760
  4. Step 4: Simplify right side
    43,632x = 1,430,640,921.60
  5. Step 5: Solve for x
    x = 1,430,640,921.60/43,632
  6. Step 6: Final answer
    x = 32,788.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.