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Finding the Fourth Proportional to 31,529.65, 43,511.22 and 17,383

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Solution

The fourth proportional to 31,529.65, 43,511.22 and 17,383 is: 23,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,529.65 : 43,511.22 = 17,383 : x
  2. Step 2: Convert to fraction form
    31,529.65/43,511.22 = 17,383/x
  3. Step 3: Cross multiply
    31,529.65x = 43,511.22 × 17,383
  4. Step 4: Simplify right side
    31,529.65x = 756,355,450.35
  5. Step 5: Solve for x
    x = 756,355,450.35/31,529.65
  6. Step 6: Final answer
    x = 23,988.70

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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.