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Finding the Fourth Proportional to 31,144.86, 42,980.22 and 16,997.94

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Solution

The fourth proportional to 31,144.86, 42,980.22 and 16,997.94 is: 23,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.86 : 42,980.22 = 16,997.94 : x
  2. Step 2: Convert to fraction form
    31,144.86/42,980.22 = 16,997.94/x
  3. Step 3: Cross multiply
    31,144.86x = 42,980.22 × 16,997.94
  4. Step 4: Simplify right side
    31,144.86x = 730,575,200.75
  5. Step 5: Solve for x
    x = 730,575,200.75/31,144.86
  6. Step 6: Final answer
    x = 23,457.33

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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.