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Finding the Fourth Proportional to 55,222.50, 82,833.75 and 13,669.50

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Solution

The fourth proportional to 55,222.50, 82,833.75 and 13,669.50 is: 20,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,222.50 : 82,833.75 = 13,669.50 : x
  2. Step 2: Convert to fraction form
    55,222.50/82,833.75 = 13,669.50/x
  3. Step 3: Cross multiply
    55,222.50x = 82,833.75 × 13,669.50
  4. Step 4: Simplify right side
    55,222.50x = 1,132,295,945.63
  5. Step 5: Solve for x
    x = 1,132,295,945.63/55,222.50
  6. Step 6: Final answer
    x = 20,504.25

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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.