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Finding the Fourth Proportional to 82,204.96, 113,434.16 and 47,742.96

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Solution

The fourth proportional to 82,204.96, 113,434.16 and 47,742.96 is: 65,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204.96 : 113,434.16 = 47,742.96 : x
  2. Step 2: Convert to fraction form
    82,204.96/113,434.16 = 47,742.96/x
  3. Step 3: Cross multiply
    82,204.96x = 113,434.16 × 47,742.96
  4. Step 4: Simplify right side
    82,204.96x = 5,415,682,563.51
  5. Step 5: Solve for x
    x = 5,415,682,563.51/82,204.96
  6. Step 6: Final answer
    x = 65,880.24

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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.