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Finding the Fourth Proportional to 30,167.63, 41,630.69 and 16,738.60

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Solution

The fourth proportional to 30,167.63, 41,630.69 and 16,738.60 is: 23,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.63 : 41,630.69 = 16,738.60 : x
  2. Step 2: Convert to fraction form
    30,167.63/41,630.69 = 16,738.60/x
  3. Step 3: Cross multiply
    30,167.63x = 41,630.69 × 16,738.60
  4. Step 4: Simplify right side
    30,167.63x = 696,839,259.48
  5. Step 5: Solve for x
    x = 696,839,259.48/30,167.63
  6. Step 6: Final answer
    x = 23,098.91

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