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Finding the Fourth Proportional to 55,682.56, 83,528.70 and 14,129.56

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Solution

The fourth proportional to 55,682.56, 83,528.70 and 14,129.56 is: 21,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,682.56 : 83,528.70 = 14,129.56 : x
  2. Step 2: Convert to fraction form
    55,682.56/83,528.70 = 14,129.56/x
  3. Step 3: Cross multiply
    55,682.56x = 83,528.70 × 14,129.56
  4. Step 4: Simplify right side
    55,682.56x = 1,180,223,778.37
  5. Step 5: Solve for x
    x = 1,180,223,778.37/55,682.56
  6. Step 6: Final answer
    x = 21,195.57

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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.