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Finding the Fourth Proportional to 49,213.81, 67,917.26 and 27,710.95

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Solution

The fourth proportional to 49,213.81, 67,917.26 and 27,710.95 is: 38,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,213.81 : 67,917.26 = 27,710.95 : x
  2. Step 2: Convert to fraction form
    49,213.81/67,917.26 = 27,710.95/x
  3. Step 3: Cross multiply
    49,213.81x = 67,917.26 × 27,710.95
  4. Step 4: Simplify right side
    49,213.81x = 1,882,051,796.00
  5. Step 5: Solve for x
    x = 1,882,051,796.00/49,213.81
  6. Step 6: Final answer
    x = 38,242.35

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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.