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Finding the Fourth Proportional to 103,692.33, 155,538.50 and 33,578.73

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Solution

The fourth proportional to 103,692.33, 155,538.50 and 33,578.73 is: 50,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692.33 : 155,538.50 = 33,578.73 : x
  2. Step 2: Convert to fraction form
    103,692.33/155,538.50 = 33,578.73/x
  3. Step 3: Cross multiply
    103,692.33x = 155,538.50 × 33,578.73
  4. Step 4: Simplify right side
    103,692.33x = 5,222,785,296.11
  5. Step 5: Solve for x
    x = 5,222,785,296.11/103,692.33
  6. Step 6: Final answer
    x = 50,368.10

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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.