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Finding the Fourth Proportional to 49,549.81, 68,362.83 and 27,742.88

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Solution

The fourth proportional to 49,549.81, 68,362.83 and 27,742.88 is: 38,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,549.81 : 68,362.83 = 27,742.88 : x
  2. Step 2: Convert to fraction form
    49,549.81/68,362.83 = 27,742.88/x
  3. Step 3: Cross multiply
    49,549.81x = 68,362.83 × 27,742.88
  4. Step 4: Simplify right side
    49,549.81x = 1,896,581,308.62
  5. Step 5: Solve for x
    x = 1,896,581,308.62/49,549.81
  6. Step 6: Final answer
    x = 38,276.26

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