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Finding the Fourth Proportional to 35,738.26, 49,321.03 and 20,633.68

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Solution

The fourth proportional to 35,738.26, 49,321.03 and 20,633.68 is: 28,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.26 : 49,321.03 = 20,633.68 : x
  2. Step 2: Convert to fraction form
    35,738.26/49,321.03 = 20,633.68/x
  3. Step 3: Cross multiply
    35,738.26x = 49,321.03 × 20,633.68
  4. Step 4: Simplify right side
    35,738.26x = 1,017,674,350.29
  5. Step 5: Solve for x
    x = 1,017,674,350.29/35,738.26
  6. Step 6: Final answer
    x = 28,475.77

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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.