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Finding the Fourth Proportional to 65,750.71, 98,584.97 and 27,780.46

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Solution

The fourth proportional to 65,750.71, 98,584.97 and 27,780.46 is: 41,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750.71 : 98,584.97 = 27,780.46 : x
  2. Step 2: Convert to fraction form
    65,750.71/98,584.97 = 27,780.46/x
  3. Step 3: Cross multiply
    65,750.71x = 98,584.97 × 27,780.46
  4. Step 4: Simplify right side
    65,750.71x = 2,738,735,815.69
  5. Step 5: Solve for x
    x = 2,738,735,815.69/65,750.71
  6. Step 6: Final answer
    x = 41,653.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.