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Finding the Fourth Proportional to 30,538.83, 42,142.42 and 17,109.42

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Solution

The fourth proportional to 30,538.83, 42,142.42 and 17,109.42 is: 23,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.83 : 42,142.42 = 17,109.42 : x
  2. Step 2: Convert to fraction form
    30,538.83/42,142.42 = 17,109.42/x
  3. Step 3: Cross multiply
    30,538.83x = 42,142.42 × 17,109.42
  4. Step 4: Simplify right side
    30,538.83x = 721,032,226.95
  5. Step 5: Solve for x
    x = 721,032,226.95/30,538.83
  6. Step 6: Final answer
    x = 23,610.34

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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.