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Finding the Fourth Proportional to 50,692.50, 76,038.89 and 13,756.50

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Solution

The fourth proportional to 50,692.50, 76,038.89 and 13,756.50 is: 20,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692.50 : 76,038.89 = 13,756.50 : x
  2. Step 2: Convert to fraction form
    50,692.50/76,038.89 = 13,756.50/x
  3. Step 3: Cross multiply
    50,692.50x = 76,038.89 × 13,756.50
  4. Step 4: Simplify right side
    50,692.50x = 1,046,028,921.50
  5. Step 5: Solve for x
    x = 1,046,028,921.50/50,692.50
  6. Step 6: Final answer
    x = 20,634.79

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Why These Related Problems?

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