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Finding the Fourth Proportional to 82,851.36, 114,337.89 and 47,040.45

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Solution

The fourth proportional to 82,851.36, 114,337.89 and 47,040.45 is: 64,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.36 : 114,337.89 = 47,040.45 : x
  2. Step 2: Convert to fraction form
    82,851.36/114,337.89 = 47,040.45/x
  3. Step 3: Cross multiply
    82,851.36x = 114,337.89 × 47,040.45
  4. Step 4: Simplify right side
    82,851.36x = 5,378,505,797.65
  5. Step 5: Solve for x
    x = 5,378,505,797.65/82,851.36
  6. Step 6: Final answer
    x = 64,917.53

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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.