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Finding the Fourth Proportional to 82,031.30, 122,965.20 and 34,658.33

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Solution

The fourth proportional to 82,031.30, 122,965.20 and 34,658.33 is: 51,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,031.30 : 122,965.20 = 34,658.33 : x
  2. Step 2: Convert to fraction form
    82,031.30/122,965.20 = 34,658.33/x
  3. Step 3: Cross multiply
    82,031.30x = 122,965.20 × 34,658.33
  4. Step 4: Simplify right side
    82,031.30x = 4,261,767,692.00
  5. Step 5: Solve for x
    x = 4,261,767,692.00/82,031.30
  6. Step 6: Final answer
    x = 51,952.94

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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.