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Finding the Fourth Proportional to 70,202.94, 105,245.17 and 32,743.27

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Solution

The fourth proportional to 70,202.94, 105,245.17 and 32,743.27 is: 49,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,202.94 : 105,245.17 = 32,743.27 : x
  2. Step 2: Convert to fraction form
    70,202.94/105,245.17 = 32,743.27/x
  3. Step 3: Cross multiply
    70,202.94x = 105,245.17 × 32,743.27
  4. Step 4: Simplify right side
    70,202.94x = 3,446,071,017.51
  5. Step 5: Solve for x
    x = 3,446,071,017.51/70,202.94
  6. Step 6: Final answer
    x = 49,087.27

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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.