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Finding the Fourth Proportional to 75,527, 104,227.44 and 41,999.48

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Solution

The fourth proportional to 75,527, 104,227.44 and 41,999.48 is: 57,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,527 : 104,227.44 = 41,999.48 : x
  2. Step 2: Convert to fraction form
    75,527/104,227.44 = 41,999.48/x
  3. Step 3: Cross multiply
    75,527x = 104,227.44 × 41,999.48
  4. Step 4: Simplify right side
    75,527x = 4,377,498,281.73
  5. Step 5: Solve for x
    x = 4,377,498,281.73/75,527
  6. Step 6: Final answer
    x = 57,959.38

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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.