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Finding the Fourth Proportional to 81,857.40, 112,962 and 46,047.42

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Solution

The fourth proportional to 81,857.40, 112,962 and 46,047.42 is: 63,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,857.40 : 112,962 = 46,047.42 : x
  2. Step 2: Convert to fraction form
    81,857.40/112,962 = 46,047.42/x
  3. Step 3: Cross multiply
    81,857.40x = 112,962 × 46,047.42
  4. Step 4: Simplify right side
    81,857.40x = 5,201,608,658.04
  5. Step 5: Solve for x
    x = 5,201,608,658.04/81,857.40
  6. Step 6: Final answer
    x = 63,544.76

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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.