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Finding the Fourth Proportional to 36,459.50, 50,314.12 and 19,692.50

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Solution

The fourth proportional to 36,459.50, 50,314.12 and 19,692.50 is: 27,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,459.50 : 50,314.12 = 19,692.50 : x
  2. Step 2: Convert to fraction form
    36,459.50/50,314.12 = 19,692.50/x
  3. Step 3: Cross multiply
    36,459.50x = 50,314.12 × 19,692.50
  4. Step 4: Simplify right side
    36,459.50x = 990,810,808.10
  5. Step 5: Solve for x
    x = 990,810,808.10/36,459.50
  6. Step 6: Final answer
    x = 27,175.66

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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.