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Finding the Fourth Proportional to 38,511, 53,146.14 and 21,744.12

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Solution

The fourth proportional to 38,511, 53,146.14 and 21,744.12 is: 30,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511 : 53,146.14 = 21,744.12 : x
  2. Step 2: Convert to fraction form
    38,511/53,146.14 = 21,744.12/x
  3. Step 3: Cross multiply
    38,511x = 53,146.14 × 21,744.12
  4. Step 4: Simplify right side
    38,511x = 1,155,616,045.70
  5. Step 5: Solve for x
    x = 1,155,616,045.70/38,511
  6. Step 6: Final answer
    x = 30,007.43

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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.