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Finding the Fourth Proportional to 70,473.36, 105,709.96 and 17,165.31

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Solution

The fourth proportional to 70,473.36, 105,709.96 and 17,165.31 is: 25,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,473.36 : 105,709.96 = 17,165.31 : x
  2. Step 2: Convert to fraction form
    70,473.36/105,709.96 = 17,165.31/x
  3. Step 3: Cross multiply
    70,473.36x = 105,709.96 × 17,165.31
  4. Step 4: Simplify right side
    70,473.36x = 1,814,544,233.49
  5. Step 5: Solve for x
    x = 1,814,544,233.49/70,473.36
  6. Step 6: Final answer
    x = 25,747.95

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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.