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Finding the Fourth Proportional to 30,098.54, 41,536.43 and 17,351.50

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Solution

The fourth proportional to 30,098.54, 41,536.43 and 17,351.50 is: 23,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.54 : 41,536.43 = 17,351.50 : x
  2. Step 2: Convert to fraction form
    30,098.54/41,536.43 = 17,351.50/x
  3. Step 3: Cross multiply
    30,098.54x = 41,536.43 × 17,351.50
  4. Step 4: Simplify right side
    30,098.54x = 720,719,317.50
  5. Step 5: Solve for x
    x = 720,719,317.50/30,098.54
  6. Step 6: Final answer
    x = 23,945.33

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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.