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Finding the Fourth Proportional to 82,396.36, 113,597.04 and 65,456.84

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Solution

The fourth proportional to 82,396.36, 113,597.04 and 65,456.84 is: 90,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396.36 : 113,597.04 = 65,456.84 : x
  2. Step 2: Convert to fraction form
    82,396.36/113,597.04 = 65,456.84/x
  3. Step 3: Cross multiply
    82,396.36x = 113,597.04 × 65,456.84
  4. Step 4: Simplify right side
    82,396.36x = 7,435,703,271.75
  5. Step 5: Solve for x
    x = 7,435,703,271.75/82,396.36
  6. Step 6: Final answer
    x = 90,243.10

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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.