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Finding the Fourth Proportional to 49,064.98, 67,705.81 and 27,844.24

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Solution

The fourth proportional to 49,064.98, 67,705.81 and 27,844.24 is: 38,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064.98 : 67,705.81 = 27,844.24 : x
  2. Step 2: Convert to fraction form
    49,064.98/67,705.81 = 27,844.24/x
  3. Step 3: Cross multiply
    49,064.98x = 67,705.81 × 27,844.24
  4. Step 4: Simplify right side
    49,064.98x = 1,885,216,345.28
  5. Step 5: Solve for x
    x = 1,885,216,345.28/49,064.98
  6. Step 6: Final answer
    x = 38,422.85

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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.