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Finding the Fourth Proportional to 92,447.87, 138,692.57 and 29,271.78

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Solution

The fourth proportional to 92,447.87, 138,692.57 and 29,271.78 is: 43,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,447.87 : 138,692.57 = 29,271.78 : x
  2. Step 2: Convert to fraction form
    92,447.87/138,692.57 = 29,271.78/x
  3. Step 3: Cross multiply
    92,447.87x = 138,692.57 × 29,271.78
  4. Step 4: Simplify right side
    92,447.87x = 4,059,778,250.32
  5. Step 5: Solve for x
    x = 4,059,778,250.32/92,447.87
  6. Step 6: Final answer
    x = 43,914.25

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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.