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Finding the Fourth Proportional to 35,692.52, 49,255.70 and 19,777.23

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Solution

The fourth proportional to 35,692.52, 49,255.70 and 19,777.23 is: 27,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.52 : 49,255.70 = 19,777.23 : x
  2. Step 2: Convert to fraction form
    35,692.52/49,255.70 = 19,777.23/x
  3. Step 3: Cross multiply
    35,692.52x = 49,255.70 × 19,777.23
  4. Step 4: Simplify right side
    35,692.52x = 974,141,208.82
  5. Step 5: Solve for x
    x = 974,141,208.82/35,692.52
  6. Step 6: Final answer
    x = 27,292.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.