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Finding the Fourth Proportional to 38,493.74, 53,079.73 and 33,414.43

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Solution

The fourth proportional to 38,493.74, 53,079.73 and 33,414.43 is: 46,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.74 : 53,079.73 = 33,414.43 : x
  2. Step 2: Convert to fraction form
    38,493.74/53,079.73 = 33,414.43/x
  3. Step 3: Cross multiply
    38,493.74x = 53,079.73 × 33,414.43
  4. Step 4: Simplify right side
    38,493.74x = 1,773,628,922.50
  5. Step 5: Solve for x
    x = 1,773,628,922.50/38,493.74
  6. Step 6: Final answer
    x = 46,075.78

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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.