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Finding the Fourth Proportional to 50,977.31, 76,423.85 and 22,493.98

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Solution

The fourth proportional to 50,977.31, 76,423.85 and 22,493.98 is: 33,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.31 : 76,423.85 = 22,493.98 : x
  2. Step 2: Convert to fraction form
    50,977.31/76,423.85 = 22,493.98/x
  3. Step 3: Cross multiply
    50,977.31x = 76,423.85 × 22,493.98
  4. Step 4: Simplify right side
    50,977.31x = 1,719,076,553.42
  5. Step 5: Solve for x
    x = 1,719,076,553.42/50,977.31
  6. Step 6: Final answer
    x = 33,722.39

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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.