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Finding the Fourth Proportional to 85,382.82, 117,830.15 and 47,142.24

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Solution

The fourth proportional to 85,382.82, 117,830.15 and 47,142.24 is: 65,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382.82 : 117,830.15 = 47,142.24 : x
  2. Step 2: Convert to fraction form
    85,382.82/117,830.15 = 47,142.24/x
  3. Step 3: Cross multiply
    85,382.82x = 117,830.15 × 47,142.24
  4. Step 4: Simplify right side
    85,382.82x = 5,554,776,974.82
  5. Step 5: Solve for x
    x = 5,554,776,974.82/85,382.82
  6. Step 6: Final answer
    x = 65,057.31

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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.