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Finding the Fourth Proportional to 49,194, 73,803.49 and 14,133.69

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Solution

The fourth proportional to 49,194, 73,803.49 and 14,133.69 is: 21,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194 : 73,803.49 = 14,133.69 : x
  2. Step 2: Convert to fraction form
    49,194/73,803.49 = 14,133.69/x
  3. Step 3: Cross multiply
    49,194x = 73,803.49 × 14,133.69
  4. Step 4: Simplify right side
    49,194x = 1,043,115,613.24
  5. Step 5: Solve for x
    x = 1,043,115,613.24/49,194
  6. Step 6: Final answer
    x = 21,204.12

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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.