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Finding the Fourth Proportional to 31,238.85, 43,110.38 and 17,811.38

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Solution

The fourth proportional to 31,238.85, 43,110.38 and 17,811.38 is: 24,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.85 : 43,110.38 = 17,811.38 : x
  2. Step 2: Convert to fraction form
    31,238.85/43,110.38 = 17,811.38/x
  3. Step 3: Cross multiply
    31,238.85x = 43,110.38 × 17,811.38
  4. Step 4: Simplify right side
    31,238.85x = 767,855,055.52
  5. Step 5: Solve for x
    x = 767,855,055.52/31,238.85
  6. Step 6: Final answer
    x = 24,580.13

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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.