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Finding the Fourth Proportional to 30,475.02, 42,058 and 17,049.27

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Solution

The fourth proportional to 30,475.02, 42,058 and 17,049.27 is: 23,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.02 : 42,058 = 17,049.27 : x
  2. Step 2: Convert to fraction form
    30,475.02/42,058 = 17,049.27/x
  3. Step 3: Cross multiply
    30,475.02x = 42,058 × 17,049.27
  4. Step 4: Simplify right side
    30,475.02x = 717,058,197.66
  5. Step 5: Solve for x
    x = 717,058,197.66/30,475.02
  6. Step 6: Final answer
    x = 23,529.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.