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Finding the Fourth Proportional to 31,344.20, 47,058.02 and 18,206

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Solution

The fourth proportional to 31,344.20, 47,058.02 and 18,206 is: 27,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344.20 : 47,058.02 = 18,206 : x
  2. Step 2: Convert to fraction form
    31,344.20/47,058.02 = 18,206/x
  3. Step 3: Cross multiply
    31,344.20x = 47,058.02 × 18,206
  4. Step 4: Simplify right side
    31,344.20x = 856,738,312.12
  5. Step 5: Solve for x
    x = 856,738,312.12/31,344.20
  6. Step 6: Final answer
    x = 27,333.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.