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Finding the Fourth Proportional to 57,846.96, 86,778.67 and 17,869.34

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Solution

The fourth proportional to 57,846.96, 86,778.67 and 17,869.34 is: 26,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.96 : 86,778.67 = 17,869.34 : x
  2. Step 2: Convert to fraction form
    57,846.96/86,778.67 = 17,869.34/x
  3. Step 3: Cross multiply
    57,846.96x = 86,778.67 × 17,869.34
  4. Step 4: Simplify right side
    57,846.96x = 1,550,677,469.63
  5. Step 5: Solve for x
    x = 1,550,677,469.63/57,846.96
  6. Step 6: Final answer
    x = 26,806.55

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1.5x scale

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.