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Finding the Fourth Proportional to 85,704.25, 128,639.52 and 41,362.24

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Solution

The fourth proportional to 85,704.25, 128,639.52 and 41,362.24 is: 62,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,704.25 : 128,639.52 = 41,362.24 : x
  2. Step 2: Convert to fraction form
    85,704.25/128,639.52 = 41,362.24/x
  3. Step 3: Cross multiply
    85,704.25x = 128,639.52 × 41,362.24
  4. Step 4: Simplify right side
    85,704.25x = 5,320,818,699.72
  5. Step 5: Solve for x
    x = 5,320,818,699.72/85,704.25
  6. Step 6: Final answer
    x = 62,083.49

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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.