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Finding the Fourth Proportional to 82,344.44, 113,633.82 and 46,533.68

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Solution

The fourth proportional to 82,344.44, 113,633.82 and 46,533.68 is: 64,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344.44 : 113,633.82 = 46,533.68 : x
  2. Step 2: Convert to fraction form
    82,344.44/113,633.82 = 46,533.68/x
  3. Step 3: Cross multiply
    82,344.44x = 113,633.82 × 46,533.68
  4. Step 4: Simplify right side
    82,344.44x = 5,287,799,817.06
  5. Step 5: Solve for x
    x = 5,287,799,817.06/82,344.44
  6. Step 6: Final answer
    x = 64,215.63

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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.