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Finding the Fourth Proportional to 35,678.36, 53,492.20 and 17,896.22

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Solution

The fourth proportional to 35,678.36, 53,492.20 and 17,896.22 is: 26,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.36 : 53,492.20 = 17,896.22 : x
  2. Step 2: Convert to fraction form
    35,678.36/53,492.20 = 17,896.22/x
  3. Step 3: Cross multiply
    35,678.36x = 53,492.20 × 17,896.22
  4. Step 4: Simplify right side
    35,678.36x = 957,308,469.44
  5. Step 5: Solve for x
    x = 957,308,469.44/35,678.36
  6. Step 6: Final answer
    x = 26,831.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.