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Finding the Fourth Proportional to 38,463, 53,078.94 and 20,799

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Solution

The fourth proportional to 38,463, 53,078.94 and 20,799 is: 28,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463 : 53,078.94 = 20,799 : x
  2. Step 2: Convert to fraction form
    38,463/53,078.94 = 20,799/x
  3. Step 3: Cross multiply
    38,463x = 53,078.94 × 20,799
  4. Step 4: Simplify right side
    38,463x = 1,103,988,873.06
  5. Step 5: Solve for x
    x = 1,103,988,873.06/38,463
  6. Step 6: Final answer
    x = 28,702.62

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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.