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Finding the Fourth Proportional to 35,536.53, 49,039.65 and 20,428.80

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Solution

The fourth proportional to 35,536.53, 49,039.65 and 20,428.80 is: 28,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,536.53 : 49,039.65 = 20,428.80 : x
  2. Step 2: Convert to fraction form
    35,536.53/49,039.65 = 20,428.80/x
  3. Step 3: Cross multiply
    35,536.53x = 49,039.65 × 20,428.80
  4. Step 4: Simplify right side
    35,536.53x = 1,001,821,201.92
  5. Step 5: Solve for x
    x = 1,001,821,201.92/35,536.53
  6. Step 6: Final answer
    x = 28,191.31

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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.