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Finding the Fourth Proportional to 82,505.36, 113,847.95 and 46,201.75

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Solution

The fourth proportional to 82,505.36, 113,847.95 and 46,201.75 is: 63,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.36 : 113,847.95 = 46,201.75 : x
  2. Step 2: Convert to fraction form
    82,505.36/113,847.95 = 46,201.75/x
  3. Step 3: Cross multiply
    82,505.36x = 113,847.95 × 46,201.75
  4. Step 4: Simplify right side
    82,505.36x = 5,259,974,354.80
  5. Step 5: Solve for x
    x = 5,259,974,354.80/82,505.36
  6. Step 6: Final answer
    x = 63,753.12

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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.