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Finding the Fourth Proportional to 83,692.30, 125,538.45 and 28,288.30

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Solution

The fourth proportional to 83,692.30, 125,538.45 and 28,288.30 is: 42,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.30 : 125,538.45 = 28,288.30 : x
  2. Step 2: Convert to fraction form
    83,692.30/125,538.45 = 28,288.30/x
  3. Step 3: Cross multiply
    83,692.30x = 125,538.45 × 28,288.30
  4. Step 4: Simplify right side
    83,692.30x = 3,551,269,335.14
  5. Step 5: Solve for x
    x = 3,551,269,335.14/83,692.30
  6. Step 6: Final answer
    x = 42,432.45

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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.