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Finding the Fourth Proportional to 51,454.85, 77,219.17 and 21,893.45

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Solution

The fourth proportional to 51,454.85, 77,219.17 and 21,893.45 is: 32,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,454.85 : 77,219.17 = 21,893.45 : x
  2. Step 2: Convert to fraction form
    51,454.85/77,219.17 = 21,893.45/x
  3. Step 3: Cross multiply
    51,454.85x = 77,219.17 × 21,893.45
  4. Step 4: Simplify right side
    51,454.85x = 1,690,593,596.61
  5. Step 5: Solve for x
    x = 1,690,593,596.61/51,454.85
  6. Step 6: Final answer
    x = 32,855.87

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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.