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Finding the Fourth Proportional to 38,963.07, 53,786.94 and 22,828.14

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Solution

The fourth proportional to 38,963.07, 53,786.94 and 22,828.14 is: 31,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963.07 : 53,786.94 = 22,828.14 : x
  2. Step 2: Convert to fraction form
    38,963.07/53,786.94 = 22,828.14/x
  3. Step 3: Cross multiply
    38,963.07x = 53,786.94 × 22,828.14
  4. Step 4: Simplify right side
    38,963.07x = 1,227,855,796.49
  5. Step 5: Solve for x
    x = 1,227,855,796.49/38,963.07
  6. Step 6: Final answer
    x = 31,513.32

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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.