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Finding the Fourth Proportional to 65,907.46, 90,951.82 and 35,692.09

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Solution

The fourth proportional to 65,907.46, 90,951.82 and 35,692.09 is: 49,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.46 : 90,951.82 = 35,692.09 : x
  2. Step 2: Convert to fraction form
    65,907.46/90,951.82 = 35,692.09/x
  3. Step 3: Cross multiply
    65,907.46x = 90,951.82 × 35,692.09
  4. Step 4: Simplify right side
    65,907.46x = 3,246,260,545.10
  5. Step 5: Solve for x
    x = 3,246,260,545.10/65,907.46
  6. Step 6: Final answer
    x = 49,254.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.