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Finding the Fourth Proportional to 82,014.67, 113,021.76 and 59,313.61

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Solution

The fourth proportional to 82,014.67, 113,021.76 and 59,313.61 is: 81,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.67 : 113,021.76 = 59,313.61 : x
  2. Step 2: Convert to fraction form
    82,014.67/113,021.76 = 59,313.61/x
  3. Step 3: Cross multiply
    82,014.67x = 113,021.76 × 59,313.61
  4. Step 4: Simplify right side
    82,014.67x = 6,703,728,594.15
  5. Step 5: Solve for x
    x = 6,703,728,594.15/82,014.67
  6. Step 6: Final answer
    x = 81,738.16

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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.