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Finding the Fourth Proportional to 55,302.50, 82,954.05 and 13,749.50

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Solution

The fourth proportional to 55,302.50, 82,954.05 and 13,749.50 is: 20,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.50 : 82,954.05 = 13,749.50 : x
  2. Step 2: Convert to fraction form
    55,302.50/82,954.05 = 13,749.50/x
  3. Step 3: Cross multiply
    55,302.50x = 82,954.05 × 13,749.50
  4. Step 4: Simplify right side
    55,302.50x = 1,140,576,762.04
  5. Step 5: Solve for x
    x = 1,140,576,762.04/55,302.50
  6. Step 6: Final answer
    x = 20,624.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.