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Finding the Fourth Proportional to 51,692.99, 77,546.77 and 18,405.93

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Solution

The fourth proportional to 51,692.99, 77,546.77 and 18,405.93 is: 27,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,692.99 : 77,546.77 = 18,405.93 : x
  2. Step 2: Convert to fraction form
    51,692.99/77,546.77 = 18,405.93/x
  3. Step 3: Cross multiply
    51,692.99x = 77,546.77 × 18,405.93
  4. Step 4: Simplify right side
    51,692.99x = 1,427,320,665.13
  5. Step 5: Solve for x
    x = 1,427,320,665.13/51,692.99
  6. Step 6: Final answer
    x = 27,611.50

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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.