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Finding the Fourth Proportional to 67,996.80, 102,011.40 and 32,907.60

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Solution

The fourth proportional to 67,996.80, 102,011.40 and 32,907.60 is: 49,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,996.80 : 102,011.40 = 32,907.60 : x
  2. Step 2: Convert to fraction form
    67,996.80/102,011.40 = 32,907.60/x
  3. Step 3: Cross multiply
    67,996.80x = 102,011.40 × 32,907.60
  4. Step 4: Simplify right side
    67,996.80x = 3,356,950,346.64
  5. Step 5: Solve for x
    x = 3,356,950,346.64/67,996.80
  6. Step 6: Final answer
    x = 49,369.24

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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.