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Finding the Fourth Proportional to 50,692.30, 75,892.65 and 31,009.30

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Solution

The fourth proportional to 50,692.30, 75,892.65 and 31,009.30 is: 46,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692.30 : 75,892.65 = 31,009.30 : x
  2. Step 2: Convert to fraction form
    50,692.30/75,892.65 = 31,009.30/x
  3. Step 3: Cross multiply
    50,692.30x = 75,892.65 × 31,009.30
  4. Step 4: Simplify right side
    50,692.30x = 2,353,377,951.65
  5. Step 5: Solve for x
    x = 2,353,377,951.65/50,692.30
  6. Step 6: Final answer
    x = 46,424.76

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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.