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Finding the Fourth Proportional to 35,692.92, 49,261.39 and 20,582.57

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Solution

The fourth proportional to 35,692.92, 49,261.39 and 20,582.57 is: 28,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.92 : 49,261.39 = 20,582.57 : x
  2. Step 2: Convert to fraction form
    35,692.92/49,261.39 = 20,582.57/x
  3. Step 3: Cross multiply
    35,692.92x = 49,261.39 × 20,582.57
  4. Step 4: Simplify right side
    35,692.92x = 1,013,926,007.97
  5. Step 5: Solve for x
    x = 1,013,926,007.97/35,692.92
  6. Step 6: Final answer
    x = 28,406.92

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