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Finding the Fourth Proportional to 82,415.30, 123,630.23 and 44,959.28

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Solution

The fourth proportional to 82,415.30, 123,630.23 and 44,959.28 is: 67,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.30 : 123,630.23 = 44,959.28 : x
  2. Step 2: Convert to fraction form
    82,415.30/123,630.23 = 44,959.28/x
  3. Step 3: Cross multiply
    82,415.30x = 123,630.23 × 44,959.28
  4. Step 4: Simplify right side
    82,415.30x = 5,558,325,621.28
  5. Step 5: Solve for x
    x = 5,558,325,621.28/82,415.30
  6. Step 6: Final answer
    x = 67,442.89

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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.