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Finding the Fourth Proportional to 30,097.89, 41,534.37 and 16,668.90

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Solution

The fourth proportional to 30,097.89, 41,534.37 and 16,668.90 is: 23,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.89 : 41,534.37 = 16,668.90 : x
  2. Step 2: Convert to fraction form
    30,097.89/41,534.37 = 16,668.90/x
  3. Step 3: Cross multiply
    30,097.89x = 41,534.37 × 16,668.90
  4. Step 4: Simplify right side
    30,097.89x = 692,332,260.09
  5. Step 5: Solve for x
    x = 692,332,260.09/30,097.89
  6. Step 6: Final answer
    x = 23,002.68

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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.