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Finding the Fourth Proportional to 50,857.34, 76,285.98 and 19,692.59

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Solution

The fourth proportional to 50,857.34, 76,285.98 and 19,692.59 is: 29,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,857.34 : 76,285.98 = 19,692.59 : x
  2. Step 2: Convert to fraction form
    50,857.34/76,285.98 = 19,692.59/x
  3. Step 3: Cross multiply
    50,857.34x = 76,285.98 × 19,692.59
  4. Step 4: Simplify right side
    50,857.34x = 1,502,268,145.46
  5. Step 5: Solve for x
    x = 1,502,268,145.46/50,857.34
  6. Step 6: Final answer
    x = 29,538.87

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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.