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Finding the Fourth Proportional to 55,801.82, 83,676.35 and 21,623.61

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Solution

The fourth proportional to 55,801.82, 83,676.35 and 21,623.61 is: 32,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,801.82 : 83,676.35 = 21,623.61 : x
  2. Step 2: Convert to fraction form
    55,801.82/83,676.35 = 21,623.61/x
  3. Step 3: Cross multiply
    55,801.82x = 83,676.35 × 21,623.61
  4. Step 4: Simplify right side
    55,801.82x = 1,809,384,812.68
  5. Step 5: Solve for x
    x = 1,809,384,812.68/55,801.82
  6. Step 6: Final answer
    x = 32,425.19

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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.