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Finding the Fourth Proportional to 76,072.83, 104,945.13 and 49,224

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Solution

The fourth proportional to 76,072.83, 104,945.13 and 49,224 is: 67,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,072.83 : 104,945.13 = 49,224 : x
  2. Step 2: Convert to fraction form
    76,072.83/104,945.13 = 49,224/x
  3. Step 3: Cross multiply
    76,072.83x = 104,945.13 × 49,224
  4. Step 4: Simplify right side
    76,072.83x = 5,165,819,079.12
  5. Step 5: Solve for x
    x = 5,165,819,079.12/76,072.83
  6. Step 6: Final answer
    x = 67,906.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.