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Finding the Fourth Proportional to 50,809.75, 76,198.48 and 47,492.87

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Solution

The fourth proportional to 50,809.75, 76,198.48 and 47,492.87 is: 71,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,809.75 : 76,198.48 = 47,492.87 : x
  2. Step 2: Convert to fraction form
    50,809.75/76,198.48 = 47,492.87/x
  3. Step 3: Cross multiply
    50,809.75x = 76,198.48 × 47,492.87
  4. Step 4: Simplify right side
    50,809.75x = 3,618,884,005.11
  5. Step 5: Solve for x
    x = 3,618,884,005.11/50,809.75
  6. Step 6: Final answer
    x = 71,224.21

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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.