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Finding the Fourth Proportional to 82,412.12, 123,396.75 and 67,797.50

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Solution

The fourth proportional to 82,412.12, 123,396.75 and 67,797.50 is: 101,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.12 : 123,396.75 = 67,797.50 : x
  2. Step 2: Convert to fraction form
    82,412.12/123,396.75 = 67,797.50/x
  3. Step 3: Cross multiply
    82,412.12x = 123,396.75 × 67,797.50
  4. Step 4: Simplify right side
    82,412.12x = 8,365,990,541.14
  5. Step 5: Solve for x
    x = 8,365,990,541.14/82,412.12
  6. Step 6: Final answer
    x = 101,514.08

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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.