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Finding the Fourth Proportional to 105,438.70, 145,505.31 and 57,692.24

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Solution

The fourth proportional to 105,438.70, 145,505.31 and 57,692.24 is: 79,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,438.70 : 145,505.31 = 57,692.24 : x
  2. Step 2: Convert to fraction form
    105,438.70/145,505.31 = 57,692.24/x
  3. Step 3: Cross multiply
    105,438.70x = 145,505.31 × 57,692.24
  4. Step 4: Simplify right side
    105,438.70x = 8,394,527,265.79
  5. Step 5: Solve for x
    x = 8,394,527,265.79/105,438.70
  6. Step 6: Final answer
    x = 79,615.24

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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.