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Finding the Fourth Proportional to 38,747.44, 53,469.08 and 21,754

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Solution

The fourth proportional to 38,747.44, 53,469.08 and 21,754 is: 30,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,747.44 : 53,469.08 = 21,754 : x
  2. Step 2: Convert to fraction form
    38,747.44/53,469.08 = 21,754/x
  3. Step 3: Cross multiply
    38,747.44x = 53,469.08 × 21,754
  4. Step 4: Simplify right side
    38,747.44x = 1,163,166,366.32
  5. Step 5: Solve for x
    x = 1,163,166,366.32/38,747.44
  6. Step 6: Final answer
    x = 30,019.18

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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.