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Finding the Fourth Proportional to 37,692.25, 56,564.30 and 13,068.25

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Solution

The fourth proportional to 37,692.25, 56,564.30 and 13,068.25 is: 19,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,692.25 : 56,564.30 = 13,068.25 : x
  2. Step 2: Convert to fraction form
    37,692.25/56,564.30 = 13,068.25/x
  3. Step 3: Cross multiply
    37,692.25x = 56,564.30 × 13,068.25
  4. Step 4: Simplify right side
    37,692.25x = 739,196,413.48
  5. Step 5: Solve for x
    x = 739,196,413.48/37,692.25
  6. Step 6: Final answer
    x = 19,611.36

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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.