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Finding the Fourth Proportional to 38,782.38, 58,173.75 and 15,408.75

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Solution

The fourth proportional to 38,782.38, 58,173.75 and 15,408.75 is: 23,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.38 : 58,173.75 = 15,408.75 : x
  2. Step 2: Convert to fraction form
    38,782.38/58,173.75 = 15,408.75/x
  3. Step 3: Cross multiply
    38,782.38x = 58,173.75 × 15,408.75
  4. Step 4: Simplify right side
    38,782.38x = 896,384,770.31
  5. Step 5: Solve for x
    x = 896,384,770.31/38,782.38
  6. Step 6: Final answer
    x = 23,113.20

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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.