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Finding the Fourth Proportional to 31,706.57, 43,758 and 17,559.41

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Solution

The fourth proportional to 31,706.57, 43,758 and 17,559.41 is: 24,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.57 : 43,758 = 17,559.41 : x
  2. Step 2: Convert to fraction form
    31,706.57/43,758 = 17,559.41/x
  3. Step 3: Cross multiply
    31,706.57x = 43,758 × 17,559.41
  4. Step 4: Simplify right side
    31,706.57x = 768,364,443.99
  5. Step 5: Solve for x
    x = 768,364,443.99/31,706.57
  6. Step 6: Final answer
    x = 24,233.60

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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.