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Finding the Fourth Proportional to 50,692.40, 75,976.32 and 28,459.16

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Solution

The fourth proportional to 50,692.40, 75,976.32 and 28,459.16 is: 42,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692.40 : 75,976.32 = 28,459.16 : x
  2. Step 2: Convert to fraction form
    50,692.40/75,976.32 = 28,459.16/x
  3. Step 3: Cross multiply
    50,692.40x = 75,976.32 × 28,459.16
  4. Step 4: Simplify right side
    50,692.40x = 2,162,222,247.09
  5. Step 5: Solve for x
    x = 2,162,222,247.09/50,692.40
  6. Step 6: Final answer
    x = 42,653.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.