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Finding the Fourth Proportional to 31,176.67, 43,019.09 and 17,562.77

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Solution

The fourth proportional to 31,176.67, 43,019.09 and 17,562.77 is: 24,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.67 : 43,019.09 = 17,562.77 : x
  2. Step 2: Convert to fraction form
    31,176.67/43,019.09 = 17,562.77/x
  3. Step 3: Cross multiply
    31,176.67x = 43,019.09 × 17,562.77
  4. Step 4: Simplify right side
    31,176.67x = 755,534,524.84
  5. Step 5: Solve for x
    x = 755,534,524.84/31,176.67
  6. Step 6: Final answer
    x = 24,233.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.