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Finding the Fourth Proportional to 38,524.40, 57,786.60 and 30,748.40

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Solution

The fourth proportional to 38,524.40, 57,786.60 and 30,748.40 is: 46,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.40 : 57,786.60 = 30,748.40 : x
  2. Step 2: Convert to fraction form
    38,524.40/57,786.60 = 30,748.40/x
  3. Step 3: Cross multiply
    38,524.40x = 57,786.60 × 30,748.40
  4. Step 4: Simplify right side
    38,524.40x = 1,776,845,491.44
  5. Step 5: Solve for x
    x = 1,776,845,491.44/38,524.40
  6. Step 6: Final answer
    x = 46,122.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.