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Finding the Fourth Proportional to 30,832.96, 42,551.40 and 17,399.31

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Solution

The fourth proportional to 30,832.96, 42,551.40 and 17,399.31 is: 24,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.96 : 42,551.40 = 17,399.31 : x
  2. Step 2: Convert to fraction form
    30,832.96/42,551.40 = 17,399.31/x
  3. Step 3: Cross multiply
    30,832.96x = 42,551.40 × 17,399.31
  4. Step 4: Simplify right side
    30,832.96x = 740,365,105.91
  5. Step 5: Solve for x
    x = 740,365,105.91/30,832.96
  6. Step 6: Final answer
    x = 24,012.13

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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.