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Finding the Fourth Proportional to 30,741.89, 42,425.87 and 17,132.04

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Solution

The fourth proportional to 30,741.89, 42,425.87 and 17,132.04 is: 23,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.89 : 42,425.87 = 17,132.04 : x
  2. Step 2: Convert to fraction form
    30,741.89/42,425.87 = 17,132.04/x
  3. Step 3: Cross multiply
    30,741.89x = 42,425.87 × 17,132.04
  4. Step 4: Simplify right side
    30,741.89x = 726,841,616.21
  5. Step 5: Solve for x
    x = 726,841,616.21/30,741.89
  6. Step 6: Final answer
    x = 23,643.37

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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.