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Finding the Fourth Proportional to 65,906.83, 90,950.91 and 35,692.05

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Solution

The fourth proportional to 65,906.83, 90,950.91 and 35,692.05 is: 49,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.83 : 90,950.91 = 35,692.05 : x
  2. Step 2: Convert to fraction form
    65,906.83/90,950.91 = 35,692.05/x
  3. Step 3: Cross multiply
    65,906.83x = 90,950.91 × 35,692.05
  4. Step 4: Simplify right side
    65,906.83x = 3,246,224,634.49
  5. Step 5: Solve for x
    x = 3,246,224,634.49/65,906.83
  6. Step 6: Final answer
    x = 49,254.75

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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.