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Finding the Fourth Proportional to 31,808.67, 43,894.50 and 17,662.41

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Solution

The fourth proportional to 31,808.67, 43,894.50 and 17,662.41 is: 24,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.67 : 43,894.50 = 17,662.41 : x
  2. Step 2: Convert to fraction form
    31,808.67/43,894.50 = 17,662.41/x
  3. Step 3: Cross multiply
    31,808.67x = 43,894.50 × 17,662.41
  4. Step 4: Simplify right side
    31,808.67x = 775,282,655.75
  5. Step 5: Solve for x
    x = 775,282,655.75/31,808.67
  6. Step 6: Final answer
    x = 24,373.31

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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.