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Finding the Fourth Proportional to 82,356.20, 123,534.30 and 40,884.20

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Solution

The fourth proportional to 82,356.20, 123,534.30 and 40,884.20 is: 61,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356.20 : 123,534.30 = 40,884.20 : x
  2. Step 2: Convert to fraction form
    82,356.20/123,534.30 = 40,884.20/x
  3. Step 3: Cross multiply
    82,356.20x = 123,534.30 × 40,884.20
  4. Step 4: Simplify right side
    82,356.20x = 5,050,601,028.06
  5. Step 5: Solve for x
    x = 5,050,601,028.06/82,356.20
  6. Step 6: Final answer
    x = 61,326.30

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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.