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Finding the Fourth Proportional to 82,449, 113,766.66 and 46,627.56

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Solution

The fourth proportional to 82,449, 113,766.66 and 46,627.56 is: 64,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449 : 113,766.66 = 46,627.56 : x
  2. Step 2: Convert to fraction form
    82,449/113,766.66 = 46,627.56/x
  3. Step 3: Cross multiply
    82,449x = 113,766.66 × 46,627.56
  4. Step 4: Simplify right side
    82,449x = 5,304,661,765.15
  5. Step 5: Solve for x
    x = 5,304,661,765.15/82,449
  6. Step 6: Final answer
    x = 64,338.70

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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.