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Finding the Fourth Proportional to 27,692.61, 41,545.46 and 8,972.61

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Solution

The fourth proportional to 27,692.61, 41,545.46 and 8,972.61 is: 13,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.61 : 41,545.46 = 8,972.61 : x
  2. Step 2: Convert to fraction form
    27,692.61/41,545.46 = 8,972.61/x
  3. Step 3: Cross multiply
    27,692.61x = 41,545.46 × 8,972.61
  4. Step 4: Simplify right side
    27,692.61x = 372,771,209.85
  5. Step 5: Solve for x
    x = 372,771,209.85/27,692.61
  6. Step 6: Final answer
    x = 13,461.04

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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.