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Finding the Fourth Proportional to 75,718.33, 104,489.88 and 41,729.96

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Solution

The fourth proportional to 75,718.33, 104,489.88 and 41,729.96 is: 57,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718.33 : 104,489.88 = 41,729.96 : x
  2. Step 2: Convert to fraction form
    75,718.33/104,489.88 = 41,729.96/x
  3. Step 3: Cross multiply
    75,718.33x = 104,489.88 × 41,729.96
  4. Step 4: Simplify right side
    75,718.33x = 4,360,358,512.80
  5. Step 5: Solve for x
    x = 4,360,358,512.80/75,718.33
  6. Step 6: Final answer
    x = 57,586.56

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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.