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Finding the Fourth Proportional to 82,165.72, 113,457.82 and 52,004.26

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Solution

The fourth proportional to 82,165.72, 113,457.82 and 52,004.26 is: 71,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,165.72 : 113,457.82 = 52,004.26 : x
  2. Step 2: Convert to fraction form
    82,165.72/113,457.82 = 52,004.26/x
  3. Step 3: Cross multiply
    82,165.72x = 113,457.82 × 52,004.26
  4. Step 4: Simplify right side
    82,165.72x = 5,900,289,970.31
  5. Step 5: Solve for x
    x = 5,900,289,970.31/82,165.72
  6. Step 6: Final answer
    x = 71,809.63

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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.