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Finding the Fourth Proportional to 72,694.20, 101,841 and 72,694.20

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Solution

The fourth proportional to 72,694.20, 101,841 and 72,694.20 is: 101,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.20 : 101,841 = 72,694.20 : x
  2. Step 2: Convert to fraction form
    72,694.20/101,841 = 72,694.20/x
  3. Step 3: Cross multiply
    72,694.20x = 101,841 × 72,694.20
  4. Step 4: Simplify right side
    72,694.20x = 7,403,250,022.20
  5. Step 5: Solve for x
    x = 7,403,250,022.20/72,694.20
  6. Step 6: Final answer
    x = 101,841

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.