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Finding the Fourth Proportional to 49,133.40, 67,796.49 and 27,619.16

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Solution

The fourth proportional to 49,133.40, 67,796.49 and 27,619.16 is: 38,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,133.40 : 67,796.49 = 27,619.16 : x
  2. Step 2: Convert to fraction form
    49,133.40/67,796.49 = 27,619.16/x
  3. Step 3: Cross multiply
    49,133.40x = 67,796.49 × 27,619.16
  4. Step 4: Simplify right side
    49,133.40x = 1,872,481,834.81
  5. Step 5: Solve for x
    x = 1,872,481,834.81/49,133.40
  6. Step 6: Final answer
    x = 38,110.16

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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.