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Finding the Fourth Proportional to 31,203, 43,060.32 and 20,025

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Solution

The fourth proportional to 31,203, 43,060.32 and 20,025 is: 27,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203 : 43,060.32 = 20,025 : x
  2. Step 2: Convert to fraction form
    31,203/43,060.32 = 20,025/x
  3. Step 3: Cross multiply
    31,203x = 43,060.32 × 20,025
  4. Step 4: Simplify right side
    31,203x = 862,282,908
  5. Step 5: Solve for x
    x = 862,282,908/31,203
  6. Step 6: Final answer
    x = 27,634.62

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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.