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Finding the Fourth Proportional to 35,203.14, 48,564.09 and 20,290.50

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Solution

The fourth proportional to 35,203.14, 48,564.09 and 20,290.50 is: 27,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.14 : 48,564.09 = 20,290.50 : x
  2. Step 2: Convert to fraction form
    35,203.14/48,564.09 = 20,290.50/x
  3. Step 3: Cross multiply
    35,203.14x = 48,564.09 × 20,290.50
  4. Step 4: Simplify right side
    35,203.14x = 985,389,668.15
  5. Step 5: Solve for x
    x = 985,389,668.15/35,203.14
  6. Step 6: Final answer
    x = 27,991.53

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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.