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Finding the Fourth Proportional to 57,084, 78,775.92 and 31,938.36

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Solution

The fourth proportional to 57,084, 78,775.92 and 31,938.36 is: 44,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,084 : 78,775.92 = 31,938.36 : x
  2. Step 2: Convert to fraction form
    57,084/78,775.92 = 31,938.36/x
  3. Step 3: Cross multiply
    57,084x = 78,775.92 × 31,938.36
  4. Step 4: Simplify right side
    57,084x = 2,515,973,692.29
  5. Step 5: Solve for x
    x = 2,515,973,692.29/57,084
  6. Step 6: Final answer
    x = 44,074.94

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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.