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Finding the Fourth Proportional to 82,052.36, 123,084.57 and 29,462.30

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Solution

The fourth proportional to 82,052.36, 123,084.57 and 29,462.30 is: 44,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,052.36 : 123,084.57 = 29,462.30 : x
  2. Step 2: Convert to fraction form
    82,052.36/123,084.57 = 29,462.30/x
  3. Step 3: Cross multiply
    82,052.36x = 123,084.57 × 29,462.30
  4. Step 4: Simplify right side
    82,052.36x = 3,626,354,526.71
  5. Step 5: Solve for x
    x = 3,626,354,526.71/82,052.36
  6. Step 6: Final answer
    x = 44,195.62

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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.