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Finding the Fourth Proportional to 56,576.84, 84,845.40 and 16,584.84

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Solution

The fourth proportional to 56,576.84, 84,845.40 and 16,584.84 is: 24,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,576.84 : 84,845.40 = 16,584.84 : x
  2. Step 2: Convert to fraction form
    56,576.84/84,845.40 = 16,584.84/x
  3. Step 3: Cross multiply
    56,576.84x = 84,845.40 × 16,584.84
  4. Step 4: Simplify right side
    56,576.84x = 1,407,147,383.74
  5. Step 5: Solve for x
    x = 1,407,147,383.74/56,576.84
  6. Step 6: Final answer
    x = 24,871.44

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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.