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Finding the Fourth Proportional to 82,080.06, 123,142.02 and 29,490

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Solution

The fourth proportional to 82,080.06, 123,142.02 and 29,490 is: 44,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080.06 : 123,142.02 = 29,490 : x
  2. Step 2: Convert to fraction form
    82,080.06/123,142.02 = 29,490/x
  3. Step 3: Cross multiply
    82,080.06x = 123,142.02 × 29,490
  4. Step 4: Simplify right side
    82,080.06x = 3,631,458,169.80
  5. Step 5: Solve for x
    x = 3,631,458,169.80/82,080.06
  6. Step 6: Final answer
    x = 44,242.88

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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.