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Finding the Fourth Proportional to 30,167.47, 41,627.77 and 16,735.38

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Solution

The fourth proportional to 30,167.47, 41,627.77 and 16,735.38 is: 23,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.47 : 41,627.77 = 16,735.38 : x
  2. Step 2: Convert to fraction form
    30,167.47/41,627.77 = 16,735.38/x
  3. Step 3: Cross multiply
    30,167.47x = 41,627.77 × 16,735.38
  4. Step 4: Simplify right side
    30,167.47x = 696,656,445.70
  5. Step 5: Solve for x
    x = 696,656,445.70/30,167.47
  6. Step 6: Final answer
    x = 23,092.97

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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.