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Finding the Fourth Proportional to 57,584, 86,236.68 and 27,928.40

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Solution

The fourth proportional to 57,584, 86,236.68 and 27,928.40 is: 41,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,584 : 86,236.68 = 27,928.40 : x
  2. Step 2: Convert to fraction form
    57,584/86,236.68 = 27,928.40/x
  3. Step 3: Cross multiply
    57,584x = 86,236.68 × 27,928.40
  4. Step 4: Simplify right side
    57,584x = 2,408,452,493.71
  5. Step 5: Solve for x
    x = 2,408,452,493.71/57,584
  6. Step 6: Final answer
    x = 41,825.03

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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.