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Finding the Fourth Proportional to 55,469.51, 76,553.27 and 32,815.78

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Solution

The fourth proportional to 55,469.51, 76,553.27 and 32,815.78 is: 45,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,469.51 : 76,553.27 = 32,815.78 : x
  2. Step 2: Convert to fraction form
    55,469.51/76,553.27 = 32,815.78/x
  3. Step 3: Cross multiply
    55,469.51x = 76,553.27 × 32,815.78
  4. Step 4: Simplify right side
    55,469.51x = 2,512,155,157.26
  5. Step 5: Solve for x
    x = 2,512,155,157.26/55,469.51
  6. Step 6: Final answer
    x = 45,288.94

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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.