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Finding the Fourth Proportional to 31,850.46, 43,955.19 and 17,703

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Solution

The fourth proportional to 31,850.46, 43,955.19 and 17,703 is: 24,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.46 : 43,955.19 = 17,703 : x
  2. Step 2: Convert to fraction form
    31,850.46/43,955.19 = 17,703/x
  3. Step 3: Cross multiply
    31,850.46x = 43,955.19 × 17,703
  4. Step 4: Simplify right side
    31,850.46x = 778,138,728.57
  5. Step 5: Solve for x
    x = 778,138,728.57/31,850.46
  6. Step 6: Final answer
    x = 24,431.00

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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.