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Finding the Fourth Proportional to 31,523.84, 43,502.37 and 17,183.83

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Solution

The fourth proportional to 31,523.84, 43,502.37 and 17,183.83 is: 23,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.84 : 43,502.37 = 17,183.83 : x
  2. Step 2: Convert to fraction form
    31,523.84/43,502.37 = 17,183.83/x
  3. Step 3: Cross multiply
    31,523.84x = 43,502.37 × 17,183.83
  4. Step 4: Simplify right side
    31,523.84x = 747,537,244.76
  5. Step 5: Solve for x
    x = 747,537,244.76/31,523.84
  6. Step 6: Final answer
    x = 23,713.39

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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.