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Finding the Fourth Proportional to 55,692.89, 83,538.02 and 13,573.16

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Solution

The fourth proportional to 55,692.89, 83,538.02 and 13,573.16 is: 20,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692.89 : 83,538.02 = 13,573.16 : x
  2. Step 2: Convert to fraction form
    55,692.89/83,538.02 = 13,573.16/x
  3. Step 3: Cross multiply
    55,692.89x = 83,538.02 × 13,573.16
  4. Step 4: Simplify right side
    55,692.89x = 1,133,874,843.68
  5. Step 5: Solve for x
    x = 1,133,874,843.68/55,692.89
  6. Step 6: Final answer
    x = 20,359.42

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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.