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Finding the Fourth Proportional to 30,161.77, 45,236.71 and 10,169.31

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Solution

The fourth proportional to 30,161.77, 45,236.71 and 10,169.31 is: 15,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,161.77 : 45,236.71 = 10,169.31 : x
  2. Step 2: Convert to fraction form
    30,161.77/45,236.71 = 10,169.31/x
  3. Step 3: Cross multiply
    30,161.77x = 45,236.71 × 10,169.31
  4. Step 4: Simplify right side
    30,161.77x = 460,026,309.72
  5. Step 5: Solve for x
    x = 460,026,309.72/30,161.77
  6. Step 6: Final answer
    x = 15,251.97

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