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Finding the Fourth Proportional to 30,474.82, 42,058.74 and 17,049.48

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Solution

The fourth proportional to 30,474.82, 42,058.74 and 17,049.48 is: 23,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.82 : 42,058.74 = 17,049.48 : x
  2. Step 2: Convert to fraction form
    30,474.82/42,058.74 = 17,049.48/x
  3. Step 3: Cross multiply
    30,474.82x = 42,058.74 × 17,049.48
  4. Step 4: Simplify right side
    30,474.82x = 717,079,646.46
  5. Step 5: Solve for x
    x = 717,079,646.46/30,474.82
  6. Step 6: Final answer
    x = 23,530.23

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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.