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Finding the Fourth Proportional to 39,812.31, 54,920.43 and 27,849.42

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Solution

The fourth proportional to 39,812.31, 54,920.43 and 27,849.42 is: 38,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,812.31 : 54,920.43 = 27,849.42 : x
  2. Step 2: Convert to fraction form
    39,812.31/54,920.43 = 27,849.42/x
  3. Step 3: Cross multiply
    39,812.31x = 54,920.43 × 27,849.42
  4. Step 4: Simplify right side
    39,812.31x = 1,529,502,121.65
  5. Step 5: Solve for x
    x = 1,529,502,121.65/39,812.31
  6. Step 6: Final answer
    x = 38,417.82

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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.