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Finding the Fourth Proportional to 31,797.52, 43,880.54 and 17,650.34

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Solution

The fourth proportional to 31,797.52, 43,880.54 and 17,650.34 is: 24,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.52 : 43,880.54 = 17,650.34 : x
  2. Step 2: Convert to fraction form
    31,797.52/43,880.54 = 17,650.34/x
  3. Step 3: Cross multiply
    31,797.52x = 43,880.54 × 17,650.34
  4. Step 4: Simplify right side
    31,797.52x = 774,506,450.38
  5. Step 5: Solve for x
    x = 774,506,450.38/31,797.52
  6. Step 6: Final answer
    x = 24,357.45

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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.