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Finding the Fourth Proportional to 57,069, 78,755.49 and 31,918.50

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Solution

The fourth proportional to 57,069, 78,755.49 and 31,918.50 is: 44,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,069 : 78,755.49 = 31,918.50 : x
  2. Step 2: Convert to fraction form
    57,069/78,755.49 = 31,918.50/x
  3. Step 3: Cross multiply
    57,069x = 78,755.49 × 31,918.50
  4. Step 4: Simplify right side
    57,069x = 2,513,757,107.57
  5. Step 5: Solve for x
    x = 2,513,757,107.57/57,069
  6. Step 6: Final answer
    x = 44,047.68

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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.