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Finding the Fourth Proportional to 75,751.76, 104,537.69 and 41,759.50

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Solution

The fourth proportional to 75,751.76, 104,537.69 and 41,759.50 is: 57,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751.76 : 104,537.69 = 41,759.50 : x
  2. Step 2: Convert to fraction form
    75,751.76/104,537.69 = 41,759.50/x
  3. Step 3: Cross multiply
    75,751.76x = 104,537.69 × 41,759.50
  4. Step 4: Simplify right side
    75,751.76x = 4,365,441,548.02
  5. Step 5: Solve for x
    x = 4,365,441,548.02/75,751.76
  6. Step 6: Final answer
    x = 57,628.25

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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.