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Finding the Fourth Proportional to 82,507.36, 123,539.30 and 52,358.36

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Solution

The fourth proportional to 82,507.36, 123,539.30 and 52,358.36 is: 78,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.36 : 123,539.30 = 52,358.36 : x
  2. Step 2: Convert to fraction form
    82,507.36/123,539.30 = 52,358.36/x
  3. Step 3: Cross multiply
    82,507.36x = 123,539.30 × 52,358.36
  4. Step 4: Simplify right side
    82,507.36x = 6,468,315,143.55
  5. Step 5: Solve for x
    x = 6,468,315,143.55/82,507.36
  6. Step 6: Final answer
    x = 78,396.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.