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Finding the Fourth Proportional to 85,542.82, 128,305.59 and 30,134.50

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Solution

The fourth proportional to 85,542.82, 128,305.59 and 30,134.50 is: 45,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,542.82 : 128,305.59 = 30,134.50 : x
  2. Step 2: Convert to fraction form
    85,542.82/128,305.59 = 30,134.50/x
  3. Step 3: Cross multiply
    85,542.82x = 128,305.59 × 30,134.50
  4. Step 4: Simplify right side
    85,542.82x = 3,866,424,801.86
  5. Step 5: Solve for x
    x = 3,866,424,801.86/85,542.82
  6. Step 6: Final answer
    x = 45,198.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.