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Finding the Fourth Proportional to 55,383.48, 76,429.44 and 30,233.52

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Solution

The fourth proportional to 55,383.48, 76,429.44 and 30,233.52 is: 41,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.48 : 76,429.44 = 30,233.52 : x
  2. Step 2: Convert to fraction form
    55,383.48/76,429.44 = 30,233.52/x
  3. Step 3: Cross multiply
    55,383.48x = 76,429.44 × 30,233.52
  4. Step 4: Simplify right side
    55,383.48x = 2,310,731,002.83
  5. Step 5: Solve for x
    x = 2,310,731,002.83/55,383.48
  6. Step 6: Final answer
    x = 41,722.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.