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Finding the Fourth Proportional to 30,743.72, 42,398.34 and 20,129.48

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Solution

The fourth proportional to 30,743.72, 42,398.34 and 20,129.48 is: 27,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,743.72 : 42,398.34 = 20,129.48 : x
  2. Step 2: Convert to fraction form
    30,743.72/42,398.34 = 20,129.48/x
  3. Step 3: Cross multiply
    30,743.72x = 42,398.34 × 20,129.48
  4. Step 4: Simplify right side
    30,743.72x = 853,456,537.06
  5. Step 5: Solve for x
    x = 853,456,537.06/30,743.72
  6. Step 6: Final answer
    x = 27,760.35

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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.