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Finding the Fourth Proportional to 29,906.40, 41,299 and 25,632.84

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Solution

The fourth proportional to 29,906.40, 41,299 and 25,632.84 is: 35,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906.40 : 41,299 = 25,632.84 : x
  2. Step 2: Convert to fraction form
    29,906.40/41,299 = 25,632.84/x
  3. Step 3: Cross multiply
    29,906.40x = 41,299 × 25,632.84
  4. Step 4: Simplify right side
    29,906.40x = 1,058,610,659.16
  5. Step 5: Solve for x
    x = 1,058,610,659.16/29,906.40
  6. Step 6: Final answer
    x = 35,397.46

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