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Finding the Fourth Proportional to 30,537.86, 42,141.20 and 17,109.68

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Solution

The fourth proportional to 30,537.86, 42,141.20 and 17,109.68 is: 23,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.86 : 42,141.20 = 17,109.68 : x
  2. Step 2: Convert to fraction form
    30,537.86/42,141.20 = 17,109.68/x
  3. Step 3: Cross multiply
    30,537.86x = 42,141.20 × 17,109.68
  4. Step 4: Simplify right side
    30,537.86x = 721,022,150.56
  5. Step 5: Solve for x
    x = 721,022,150.56/30,537.86
  6. Step 6: Final answer
    x = 23,610.77

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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.