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Finding the Fourth Proportional to 31,151.84, 42,989.42 and 17,004.70

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Solution

The fourth proportional to 31,151.84, 42,989.42 and 17,004.70 is: 23,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.84 : 42,989.42 = 17,004.70 : x
  2. Step 2: Convert to fraction form
    31,151.84/42,989.42 = 17,004.70/x
  3. Step 3: Cross multiply
    31,151.84x = 42,989.42 × 17,004.70
  4. Step 4: Simplify right side
    31,151.84x = 731,021,890.30
  5. Step 5: Solve for x
    x = 731,021,890.30/31,151.84
  6. Step 6: Final answer
    x = 23,466.41

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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.