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Finding the Fourth Proportional to 82,166.72, 113,459.20 and 52,005.26

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Solution

The fourth proportional to 82,166.72, 113,459.20 and 52,005.26 is: 71,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166.72 : 113,459.20 = 52,005.26 : x
  2. Step 2: Convert to fraction form
    82,166.72/113,459.20 = 52,005.26/x
  3. Step 3: Cross multiply
    82,166.72x = 113,459.20 × 52,005.26
  4. Step 4: Simplify right side
    82,166.72x = 5,900,475,195.39
  5. Step 5: Solve for x
    x = 5,900,475,195.39/82,166.72
  6. Step 6: Final answer
    x = 71,811.01

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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.