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Finding the Fourth Proportional to 31,151.76, 42,989.34 and 17,004.57

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Solution

The fourth proportional to 31,151.76, 42,989.34 and 17,004.57 is: 23,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.76 : 42,989.34 = 17,004.57 : x
  2. Step 2: Convert to fraction form
    31,151.76/42,989.34 = 17,004.57/x
  3. Step 3: Cross multiply
    31,151.76x = 42,989.34 × 17,004.57
  4. Step 4: Simplify right side
    31,151.76x = 731,015,241.28
  5. Step 5: Solve for x
    x = 731,015,241.28/31,151.76
  6. Step 6: Final answer
    x = 23,466.26

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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.