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Finding the Fourth Proportional to 27,805.71, 38,389.32 and 21,420.29

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Solution

The fourth proportional to 27,805.71, 38,389.32 and 21,420.29 is: 29,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.71 : 38,389.32 = 21,420.29 : x
  2. Step 2: Convert to fraction form
    27,805.71/38,389.32 = 21,420.29/x
  3. Step 3: Cross multiply
    27,805.71x = 38,389.32 × 21,420.29
  4. Step 4: Simplify right side
    27,805.71x = 822,310,175.36
  5. Step 5: Solve for x
    x = 822,310,175.36/27,805.71
  6. Step 6: Final answer
    x = 29,573.43

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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.