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Finding the Fourth Proportional to 82,211.12, 123,359.88 and 44,798

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Solution

The fourth proportional to 82,211.12, 123,359.88 and 44,798 is: 67,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,211.12 : 123,359.88 = 44,798 : x
  2. Step 2: Convert to fraction form
    82,211.12/123,359.88 = 44,798/x
  3. Step 3: Cross multiply
    82,211.12x = 123,359.88 × 44,798
  4. Step 4: Simplify right side
    82,211.12x = 5,526,275,904.24
  5. Step 5: Solve for x
    x = 5,526,275,904.24/82,211.12
  6. Step 6: Final answer
    x = 67,220.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.