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Finding the Fourth Proportional to 57,638.50, 86,457.75 and 13,862.50

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Solution

The fourth proportional to 57,638.50, 86,457.75 and 13,862.50 is: 20,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638.50 : 86,457.75 = 13,862.50 : x
  2. Step 2: Convert to fraction form
    57,638.50/86,457.75 = 13,862.50/x
  3. Step 3: Cross multiply
    57,638.50x = 86,457.75 × 13,862.50
  4. Step 4: Simplify right side
    57,638.50x = 1,198,520,559.38
  5. Step 5: Solve for x
    x = 1,198,520,559.38/57,638.50
  6. Step 6: Final answer
    x = 20,793.75

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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.