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Finding the Fourth Proportional to 30,120.85, 41,567.21 and 16,692.13

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Solution

The fourth proportional to 30,120.85, 41,567.21 and 16,692.13 is: 23,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,120.85 : 41,567.21 = 16,692.13 : x
  2. Step 2: Convert to fraction form
    30,120.85/41,567.21 = 16,692.13/x
  3. Step 3: Cross multiply
    30,120.85x = 41,567.21 × 16,692.13
  4. Step 4: Simplify right side
    30,120.85x = 693,845,273.06
  5. Step 5: Solve for x
    x = 693,845,273.06/30,120.85
  6. Step 6: Final answer
    x = 23,035.38

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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.