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Finding the Fourth Proportional to 50,455.40, 75,692.28 and 20,857.16

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Solution

The fourth proportional to 50,455.40, 75,692.28 and 20,857.16 is: 31,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,455.40 : 75,692.28 = 20,857.16 : x
  2. Step 2: Convert to fraction form
    50,455.40/75,692.28 = 20,857.16/x
  3. Step 3: Cross multiply
    50,455.40x = 75,692.28 × 20,857.16
  4. Step 4: Simplify right side
    50,455.40x = 1,578,725,994.72
  5. Step 5: Solve for x
    x = 1,578,725,994.72/50,455.40
  6. Step 6: Final answer
    x = 31,289.53

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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.