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Finding the Fourth Proportional to 76,159.49, 105,101.39 and 41,707.25

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Solution

The fourth proportional to 76,159.49, 105,101.39 and 41,707.25 is: 57,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,159.49 : 105,101.39 = 41,707.25 : x
  2. Step 2: Convert to fraction form
    76,159.49/105,101.39 = 41,707.25/x
  3. Step 3: Cross multiply
    76,159.49x = 105,101.39 × 41,707.25
  4. Step 4: Simplify right side
    76,159.49x = 4,383,489,526.84
  5. Step 5: Solve for x
    x = 4,383,489,526.84/76,159.49
  6. Step 6: Final answer
    x = 57,556.71

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