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Finding the Fourth Proportional to 31,902.86, 44,026.97 and 17,564.19

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Solution

The fourth proportional to 31,902.86, 44,026.97 and 17,564.19 is: 24,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.86 : 44,026.97 = 17,564.19 : x
  2. Step 2: Convert to fraction form
    31,902.86/44,026.97 = 17,564.19/x
  3. Step 3: Cross multiply
    31,902.86x = 44,026.97 × 17,564.19
  4. Step 4: Simplify right side
    31,902.86x = 773,298,110.33
  5. Step 5: Solve for x
    x = 773,298,110.33/31,902.86
  6. Step 6: Final answer
    x = 24,239.15

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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.