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Finding the Fourth Proportional to 64,167.71, 96,270 and 32,576.49

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Solution

The fourth proportional to 64,167.71, 96,270 and 32,576.49 is: 48,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167.71 : 96,270 = 32,576.49 : x
  2. Step 2: Convert to fraction form
    64,167.71/96,270 = 32,576.49/x
  3. Step 3: Cross multiply
    64,167.71x = 96,270 × 32,576.49
  4. Step 4: Simplify right side
    64,167.71x = 3,136,138,692.30
  5. Step 5: Solve for x
    x = 3,136,138,692.30/64,167.71
  6. Step 6: Final answer
    x = 48,874.10

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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.