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Finding the Fourth Proportional to 51,784.41, 77,692.94 and 18,503.73

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Solution

The fourth proportional to 51,784.41, 77,692.94 and 18,503.73 is: 27,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.41 : 77,692.94 = 18,503.73 : x
  2. Step 2: Convert to fraction form
    51,784.41/77,692.94 = 18,503.73/x
  3. Step 3: Cross multiply
    51,784.41x = 77,692.94 × 18,503.73
  4. Step 4: Simplify right side
    51,784.41x = 1,437,609,092.15
  5. Step 5: Solve for x
    x = 1,437,609,092.15/51,784.41
  6. Step 6: Final answer
    x = 27,761.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.