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Finding the Fourth Proportional to 57,072.50, 78,758.53 and 31,578.20

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Solution

The fourth proportional to 57,072.50, 78,758.53 and 31,578.20 is: 43,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,072.50 : 78,758.53 = 31,578.20 : x
  2. Step 2: Convert to fraction form
    57,072.50/78,758.53 = 31,578.20/x
  3. Step 3: Cross multiply
    57,072.50x = 78,758.53 × 31,578.20
  4. Step 4: Simplify right side
    57,072.50x = 2,487,052,139.31
  5. Step 5: Solve for x
    x = 2,487,052,139.31/57,072.50
  6. Step 6: Final answer
    x = 43,577.07

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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.