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Finding the Fourth Proportional to 30,538.85, 42,146.17 and 16,930.22

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Solution

The fourth proportional to 30,538.85, 42,146.17 and 16,930.22 is: 23,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.85 : 42,146.17 = 16,930.22 : x
  2. Step 2: Convert to fraction form
    30,538.85/42,146.17 = 16,930.22/x
  3. Step 3: Cross multiply
    30,538.85x = 42,146.17 × 16,930.22
  4. Step 4: Simplify right side
    30,538.85x = 713,543,930.26
  5. Step 5: Solve for x
    x = 713,543,930.26/30,538.85
  6. Step 6: Final answer
    x = 23,365.12

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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.