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Finding the Fourth Proportional to 31,598.28, 43,604.73 and 17,450.82

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Solution

The fourth proportional to 31,598.28, 43,604.73 and 17,450.82 is: 24,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.28 : 43,604.73 = 17,450.82 : x
  2. Step 2: Convert to fraction form
    31,598.28/43,604.73 = 17,450.82/x
  3. Step 3: Cross multiply
    31,598.28x = 43,604.73 × 17,450.82
  4. Step 4: Simplify right side
    31,598.28x = 760,938,294.38
  5. Step 5: Solve for x
    x = 760,938,294.38/31,598.28
  6. Step 6: Final answer
    x = 24,081.64

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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.