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Finding the Fourth Proportional to 55,135.80, 82,703.70 and 35,452.80

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Solution

The fourth proportional to 55,135.80, 82,703.70 and 35,452.80 is: 53,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,135.80 : 82,703.70 = 35,452.80 : x
  2. Step 2: Convert to fraction form
    55,135.80/82,703.70 = 35,452.80/x
  3. Step 3: Cross multiply
    55,135.80x = 82,703.70 × 35,452.80
  4. Step 4: Simplify right side
    55,135.80x = 2,932,077,735.36
  5. Step 5: Solve for x
    x = 2,932,077,735.36/55,135.80
  6. Step 6: Final answer
    x = 53,179.20

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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.