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Finding the Fourth Proportional to 35,692.38, 49,255.56 and 19,776.54

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Solution

The fourth proportional to 35,692.38, 49,255.56 and 19,776.54 is: 27,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.38 : 49,255.56 = 19,776.54 : x
  2. Step 2: Convert to fraction form
    35,692.38/49,255.56 = 19,776.54/x
  3. Step 3: Cross multiply
    35,692.38x = 49,255.56 × 19,776.54
  4. Step 4: Simplify right side
    35,692.38x = 974,104,552.56
  5. Step 5: Solve for x
    x = 974,104,552.56/35,692.38
  6. Step 6: Final answer
    x = 27,291.67

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Why These Related Problems?

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