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Finding the Fourth Proportional to 85,544.50, 128,323.92 and 31,523.89

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Solution

The fourth proportional to 85,544.50, 128,323.92 and 31,523.89 is: 47,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,544.50 : 128,323.92 = 31,523.89 : x
  2. Step 2: Convert to fraction form
    85,544.50/128,323.92 = 31,523.89/x
  3. Step 3: Cross multiply
    85,544.50x = 128,323.92 × 31,523.89
  4. Step 4: Simplify right side
    85,544.50x = 4,045,269,138.45
  5. Step 5: Solve for x
    x = 4,045,269,138.45/85,544.50
  6. Step 6: Final answer
    x = 47,288.48

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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.