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Finding the Fourth Proportional to 68,542.80, 102,583.80 and 47,806.80

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Solution

The fourth proportional to 68,542.80, 102,583.80 and 47,806.80 is: 71,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,542.80 : 102,583.80 = 47,806.80 : x
  2. Step 2: Convert to fraction form
    68,542.80/102,583.80 = 47,806.80/x
  3. Step 3: Cross multiply
    68,542.80x = 102,583.80 × 47,806.80
  4. Step 4: Simplify right side
    68,542.80x = 4,904,203,209.84
  5. Step 5: Solve for x
    x = 4,904,203,209.84/68,542.80
  6. Step 6: Final answer
    x = 71,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.