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Finding the Fourth Proportional to 82,257.60, 113,535.36 and 48,273.60

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Solution

The fourth proportional to 82,257.60, 113,535.36 and 48,273.60 is: 66,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,257.60 : 113,535.36 = 48,273.60 : x
  2. Step 2: Convert to fraction form
    82,257.60/113,535.36 = 48,273.60/x
  3. Step 3: Cross multiply
    82,257.60x = 113,535.36 × 48,273.60
  4. Step 4: Simplify right side
    82,257.60x = 5,480,760,554.50
  5. Step 5: Solve for x
    x = 5,480,760,554.50/82,257.60
  6. Step 6: Final answer
    x = 66,629.23

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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.