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Finding the Fourth Proportional to 31,166.96, 46,960.82 and 25,741.83

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Solution

The fourth proportional to 31,166.96, 46,960.82 and 25,741.83 is: 38,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.96 : 46,960.82 = 25,741.83 : x
  2. Step 2: Convert to fraction form
    31,166.96/46,960.82 = 25,741.83/x
  3. Step 3: Cross multiply
    31,166.96x = 46,960.82 × 25,741.83
  4. Step 4: Simplify right side
    31,166.96x = 1,208,857,316.39
  5. Step 5: Solve for x
    x = 1,208,857,316.39/31,166.96
  6. Step 6: Final answer
    x = 38,786.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.