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Finding the Fourth Proportional to 38,406.10, 52,974.48 and 33,361.53

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Solution

The fourth proportional to 38,406.10, 52,974.48 and 33,361.53 is: 46,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.10 : 52,974.48 = 33,361.53 : x
  2. Step 2: Convert to fraction form
    38,406.10/52,974.48 = 33,361.53/x
  3. Step 3: Cross multiply
    38,406.10x = 52,974.48 × 33,361.53
  4. Step 4: Simplify right side
    38,406.10x = 1,767,309,703.75
  5. Step 5: Solve for x
    x = 1,767,309,703.75/38,406.10
  6. Step 6: Final answer
    x = 46,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.