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Finding the Fourth Proportional to 52,692.84, 78,663.65 and 50,847.12

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Solution

The fourth proportional to 52,692.84, 78,663.65 and 50,847.12 is: 75,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692.84 : 78,663.65 = 50,847.12 : x
  2. Step 2: Convert to fraction form
    52,692.84/78,663.65 = 50,847.12/x
  3. Step 3: Cross multiply
    52,692.84x = 78,663.65 × 50,847.12
  4. Step 4: Simplify right side
    52,692.84x = 3,999,819,796.95
  5. Step 5: Solve for x
    x = 3,999,819,796.95/52,692.84
  6. Step 6: Final answer
    x = 75,908.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.