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Finding the Fourth Proportional to 53,412.35, 80,120.16 and 18,351.50

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Solution

The fourth proportional to 53,412.35, 80,120.16 and 18,351.50 is: 27,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,412.35 : 80,120.16 = 18,351.50 : x
  2. Step 2: Convert to fraction form
    53,412.35/80,120.16 = 18,351.50/x
  3. Step 3: Cross multiply
    53,412.35x = 80,120.16 × 18,351.50
  4. Step 4: Simplify right side
    53,412.35x = 1,470,325,116.24
  5. Step 5: Solve for x
    x = 1,470,325,116.24/53,412.35
  6. Step 6: Final answer
    x = 27,527.81

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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.