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Finding the Fourth Proportional to 72,694.80, 102,006 and 72,694.80

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Solution

The fourth proportional to 72,694.80, 102,006 and 72,694.80 is: 102,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.80 : 102,006 = 72,694.80 : x
  2. Step 2: Convert to fraction form
    72,694.80/102,006 = 72,694.80/x
  3. Step 3: Cross multiply
    72,694.80x = 102,006 × 72,694.80
  4. Step 4: Simplify right side
    72,694.80x = 7,415,305,768.80
  5. Step 5: Solve for x
    x = 7,415,305,768.80/72,694.80
  6. Step 6: Final answer
    x = 102,006

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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.