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Finding the Fourth Proportional to 50,774.63, 76,161.96 and 13,838.63

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Solution

The fourth proportional to 50,774.63, 76,161.96 and 13,838.63 is: 20,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,774.63 : 76,161.96 = 13,838.63 : x
  2. Step 2: Convert to fraction form
    50,774.63/76,161.96 = 13,838.63/x
  3. Step 3: Cross multiply
    50,774.63x = 76,161.96 × 13,838.63
  4. Step 4: Simplify right side
    50,774.63x = 1,053,976,803.71
  5. Step 5: Solve for x
    x = 1,053,976,803.71/50,774.63
  6. Step 6: Final answer
    x = 20,757.94

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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.