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Finding the Fourth Proportional to 35,648.29, 49,206.94 and 20,546.98

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Solution

The fourth proportional to 35,648.29, 49,206.94 and 20,546.98 is: 28,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.29 : 49,206.94 = 20,546.98 : x
  2. Step 2: Convert to fraction form
    35,648.29/49,206.94 = 20,546.98/x
  3. Step 3: Cross multiply
    35,648.29x = 49,206.94 × 20,546.98
  4. Step 4: Simplify right side
    35,648.29x = 1,011,054,012.04
  5. Step 5: Solve for x
    x = 1,011,054,012.04/35,648.29
  6. Step 6: Final answer
    x = 28,361.92

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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.