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Finding the Fourth Proportional to 75,692.82, 104,455.86 and 41,701.68

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Solution

The fourth proportional to 75,692.82, 104,455.86 and 41,701.68 is: 57,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692.82 : 104,455.86 = 41,701.68 : x
  2. Step 2: Convert to fraction form
    75,692.82/104,455.86 = 41,701.68/x
  3. Step 3: Cross multiply
    75,692.82x = 104,455.86 × 41,701.68
  4. Step 4: Simplify right side
    75,692.82x = 4,355,984,847.84
  5. Step 5: Solve for x
    x = 4,355,984,847.84/75,692.82
  6. Step 6: Final answer
    x = 57,548.19

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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.