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Finding the Fourth Proportional to 50,492.38, 75,738.76 and 15,431.90

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Solution

The fourth proportional to 50,492.38, 75,738.76 and 15,431.90 is: 23,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.38 : 75,738.76 = 15,431.90 : x
  2. Step 2: Convert to fraction form
    50,492.38/75,738.76 = 15,431.90/x
  3. Step 3: Cross multiply
    50,492.38x = 75,738.76 × 15,431.90
  4. Step 4: Simplify right side
    50,492.38x = 1,168,792,970.44
  5. Step 5: Solve for x
    x = 1,168,792,970.44/50,492.38
  6. Step 6: Final answer
    x = 23,147.91

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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.