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Finding the Fourth Proportional to 75,372, 104,014.58 and 41,838

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Solution

The fourth proportional to 75,372, 104,014.58 and 41,838 is: 57,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,372 : 104,014.58 = 41,838 : x
  2. Step 2: Convert to fraction form
    75,372/104,014.58 = 41,838/x
  3. Step 3: Cross multiply
    75,372x = 104,014.58 × 41,838
  4. Step 4: Simplify right side
    75,372x = 4,351,761,788.85
  5. Step 5: Solve for x
    x = 4,351,761,788.85/75,372
  6. Step 6: Final answer
    x = 57,737.11

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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.