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Finding the Fourth Proportional to 31,744.38, 43,807.02 and 17,597.16

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Solution

The fourth proportional to 31,744.38, 43,807.02 and 17,597.16 is: 24,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.38 : 43,807.02 = 17,597.16 : x
  2. Step 2: Convert to fraction form
    31,744.38/43,807.02 = 17,597.16/x
  3. Step 3: Cross multiply
    31,744.38x = 43,807.02 × 17,597.16
  4. Step 4: Simplify right side
    31,744.38x = 770,879,140.06
  5. Step 5: Solve for x
    x = 770,879,140.06/31,744.38
  6. Step 6: Final answer
    x = 24,283.96

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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.