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Finding the Fourth Proportional to 38,422.97, 53,023.92 and 21,428.29

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Solution

The fourth proportional to 38,422.97, 53,023.92 and 21,428.29 is: 29,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.97 : 53,023.92 = 21,428.29 : x
  2. Step 2: Convert to fraction form
    38,422.97/53,023.92 = 21,428.29/x
  3. Step 3: Cross multiply
    38,422.97x = 53,023.92 × 21,428.29
  4. Step 4: Simplify right side
    38,422.97x = 1,136,211,882.49
  5. Step 5: Solve for x
    x = 1,136,211,882.49/38,422.97
  6. Step 6: Final answer
    x = 29,571.17

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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.