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Finding the Fourth Proportional to 70,983.97, 106,473.54 and 17,675.83

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Solution

The fourth proportional to 70,983.97, 106,473.54 and 17,675.83 is: 26,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.97 : 106,473.54 = 17,675.83 : x
  2. Step 2: Convert to fraction form
    70,983.97/106,473.54 = 17,675.83/x
  3. Step 3: Cross multiply
    70,983.97x = 106,473.54 × 17,675.83
  4. Step 4: Simplify right side
    70,983.97x = 1,882,008,192.54
  5. Step 5: Solve for x
    x = 1,882,008,192.54/70,983.97
  6. Step 6: Final answer
    x = 26,513.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.