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Finding the Fourth Proportional to 55,302.57, 82,954.16 and 13,749.57

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Solution

The fourth proportional to 55,302.57, 82,954.16 and 13,749.57 is: 20,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.57 : 82,954.16 = 13,749.57 : x
  2. Step 2: Convert to fraction form
    55,302.57/82,954.16 = 13,749.57/x
  3. Step 3: Cross multiply
    55,302.57x = 82,954.16 × 13,749.57
  4. Step 4: Simplify right side
    55,302.57x = 1,140,583,960.96
  5. Step 5: Solve for x
    x = 1,140,583,960.96/55,302.57
  6. Step 6: Final answer
    x = 20,624.43

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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.