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Finding the Fourth Proportional to 89,449.80, 123,443.00 and 49,164.59

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Solution

The fourth proportional to 89,449.80, 123,443.00 and 49,164.59 is: 67,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,449.80 : 123,443.00 = 49,164.59 : x
  2. Step 2: Convert to fraction form
    89,449.80/123,443.00 = 49,164.59/x
  3. Step 3: Cross multiply
    89,449.80x = 123,443.00 × 49,164.59
  4. Step 4: Simplify right side
    89,449.80x = 6,069,023,620.33
  5. Step 5: Solve for x
    x = 6,069,023,620.33/89,449.80
  6. Step 6: Final answer
    x = 67,848.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.