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Finding the Fourth Proportional to 70,982.97, 106,472.04 and 17,674.83

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Solution

The fourth proportional to 70,982.97, 106,472.04 and 17,674.83 is: 26,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.97 : 106,472.04 = 17,674.83 : x
  2. Step 2: Convert to fraction form
    70,982.97/106,472.04 = 17,674.83/x
  3. Step 3: Cross multiply
    70,982.97x = 106,472.04 × 17,674.83
  4. Step 4: Simplify right side
    70,982.97x = 1,881,875,206.75
  5. Step 5: Solve for x
    x = 1,881,875,206.75/70,982.97
  6. Step 6: Final answer
    x = 26,511.64

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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.