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Finding the Fourth Proportional to 49,309.65, 73,976.22 and 16,029.99

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Solution

The fourth proportional to 49,309.65, 73,976.22 and 16,029.99 is: 24,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,309.65 : 73,976.22 = 16,029.99 : x
  2. Step 2: Convert to fraction form
    49,309.65/73,976.22 = 16,029.99/x
  3. Step 3: Cross multiply
    49,309.65x = 73,976.22 × 16,029.99
  4. Step 4: Simplify right side
    49,309.65x = 1,185,838,066.84
  5. Step 5: Solve for x
    x = 1,185,838,066.84/49,309.65
  6. Step 6: Final answer
    x = 24,048.80

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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.