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Finding the Fourth Proportional to 57,023.84, 78,692.43 and 31,531.32

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Solution

The fourth proportional to 57,023.84, 78,692.43 and 31,531.32 is: 43,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,023.84 : 78,692.43 = 31,531.32 : x
  2. Step 2: Convert to fraction form
    57,023.84/78,692.43 = 31,531.32/x
  3. Step 3: Cross multiply
    57,023.84x = 78,692.43 × 31,531.32
  4. Step 4: Simplify right side
    57,023.84x = 2,481,276,191.91
  5. Step 5: Solve for x
    x = 2,481,276,191.91/57,023.84
  6. Step 6: Final answer
    x = 43,512.96

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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.