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Finding the Fourth Proportional to 82,612.36, 123,933.12 and 29,320.64

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Solution

The fourth proportional to 82,612.36, 123,933.12 and 29,320.64 is: 43,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,612.36 : 123,933.12 = 29,320.64 : x
  2. Step 2: Convert to fraction form
    82,612.36/123,933.12 = 29,320.64/x
  3. Step 3: Cross multiply
    82,612.36x = 123,933.12 × 29,320.64
  4. Step 4: Simplify right side
    82,612.36x = 3,633,798,395.60
  5. Step 5: Solve for x
    x = 3,633,798,395.60/82,612.36
  6. Step 6: Final answer
    x = 43,986.13

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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.