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Finding the Fourth Proportional to 49,208.40, 73,769.40 and 29,494.80

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Solution

The fourth proportional to 49,208.40, 73,769.40 and 29,494.80 is: 44,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,208.40 : 73,769.40 = 29,494.80 : x
  2. Step 2: Convert to fraction form
    49,208.40/73,769.40 = 29,494.80/x
  3. Step 3: Cross multiply
    49,208.40x = 73,769.40 × 29,494.80
  4. Step 4: Simplify right side
    49,208.40x = 2,175,813,699.12
  5. Step 5: Solve for x
    x = 2,175,813,699.12/49,208.40
  6. Step 6: Final answer
    x = 44,216.31

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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.