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Finding the Fourth Proportional to 31,782.86, 43,906.10 and 25,401.28

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Solution

The fourth proportional to 31,782.86, 43,906.10 and 25,401.28 is: 35,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.86 : 43,906.10 = 25,401.28 : x
  2. Step 2: Convert to fraction form
    31,782.86/43,906.10 = 25,401.28/x
  3. Step 3: Cross multiply
    31,782.86x = 43,906.10 × 25,401.28
  4. Step 4: Simplify right side
    31,782.86x = 1,115,271,139.81
  5. Step 5: Solve for x
    x = 1,115,271,139.81/31,782.86
  6. Step 6: Final answer
    x = 35,090.33

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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.