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Finding the Fourth Proportional to 39,351.84, 54,304.16 and 21,446.48

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Solution

The fourth proportional to 39,351.84, 54,304.16 and 21,446.48 is: 29,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,351.84 : 54,304.16 = 21,446.48 : x
  2. Step 2: Convert to fraction form
    39,351.84/54,304.16 = 21,446.48/x
  3. Step 3: Cross multiply
    39,351.84x = 54,304.16 × 21,446.48
  4. Step 4: Simplify right side
    39,351.84x = 1,164,633,081.36
  5. Step 5: Solve for x
    x = 1,164,633,081.36/39,351.84
  6. Step 6: Final answer
    x = 29,595.39

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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.