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Finding the Fourth Proportional to 57,806.46, 86,717.93 and 17,828.80

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Solution

The fourth proportional to 57,806.46, 86,717.93 and 17,828.80 is: 26,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.46 : 86,717.93 = 17,828.80 : x
  2. Step 2: Convert to fraction form
    57,806.46/86,717.93 = 17,828.80/x
  3. Step 3: Cross multiply
    57,806.46x = 86,717.93 × 17,828.80
  4. Step 4: Simplify right side
    57,806.46x = 1,546,076,630.38
  5. Step 5: Solve for x
    x = 1,546,076,630.38/57,806.46
  6. Step 6: Final answer
    x = 26,745.74

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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.