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Finding the Fourth Proportional to 55,692.78, 76,884.03 and 36,320.46

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Solution

The fourth proportional to 55,692.78, 76,884.03 and 36,320.46 is: 50,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692.78 : 76,884.03 = 36,320.46 : x
  2. Step 2: Convert to fraction form
    55,692.78/76,884.03 = 36,320.46/x
  3. Step 3: Cross multiply
    55,692.78x = 76,884.03 × 36,320.46
  4. Step 4: Simplify right side
    55,692.78x = 2,792,463,336.25
  5. Step 5: Solve for x
    x = 2,792,463,336.25/55,692.78
  6. Step 6: Final answer
    x = 50,140.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.