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Finding the Fourth Proportional to 38,506.57, 57,745.28 and 15,120.25

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Solution

The fourth proportional to 38,506.57, 57,745.28 and 15,120.25 is: 22,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.57 : 57,745.28 = 15,120.25 : x
  2. Step 2: Convert to fraction form
    38,506.57/57,745.28 = 15,120.25/x
  3. Step 3: Cross multiply
    38,506.57x = 57,745.28 × 15,120.25
  4. Step 4: Simplify right side
    38,506.57x = 873,122,994.32
  5. Step 5: Solve for x
    x = 873,122,994.32/38,506.57
  6. Step 6: Final answer
    x = 22,674.65

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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.