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Finding the Fourth Proportional to 82,486.54, 113,834.01 and 46,675.90

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Solution

The fourth proportional to 82,486.54, 113,834.01 and 46,675.90 is: 64,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,486.54 : 113,834.01 = 46,675.90 : x
  2. Step 2: Convert to fraction form
    82,486.54/113,834.01 = 46,675.90/x
  3. Step 3: Cross multiply
    82,486.54x = 113,834.01 × 46,675.90
  4. Step 4: Simplify right side
    82,486.54x = 5,313,304,867.36
  5. Step 5: Solve for x
    x = 5,313,304,867.36/82,486.54
  6. Step 6: Final answer
    x = 64,414.20

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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.