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Finding the Fourth Proportional to 83,692.50, 115,467.54 and 47,389

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Solution

The fourth proportional to 83,692.50, 115,467.54 and 47,389 is: 65,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.50 : 115,467.54 = 47,389 : x
  2. Step 2: Convert to fraction form
    83,692.50/115,467.54 = 47,389/x
  3. Step 3: Cross multiply
    83,692.50x = 115,467.54 × 47,389
  4. Step 4: Simplify right side
    83,692.50x = 5,471,891,253.06
  5. Step 5: Solve for x
    x = 5,471,891,253.06/83,692.50
  6. Step 6: Final answer
    x = 65,380.90

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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.