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Finding the Fourth Proportional to 49,207.19, 67,903.43 and 27,986.00

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Solution

The fourth proportional to 49,207.19, 67,903.43 and 27,986.00 is: 38,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.19 : 67,903.43 = 27,986.00 : x
  2. Step 2: Convert to fraction form
    49,207.19/67,903.43 = 27,986.00/x
  3. Step 3: Cross multiply
    49,207.19x = 67,903.43 × 27,986.00
  4. Step 4: Simplify right side
    49,207.19x = 1,900,344,912.53
  5. Step 5: Solve for x
    x = 1,900,344,912.53/49,207.19
  6. Step 6: Final answer
    x = 38,619.26

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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.