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Finding the Fourth Proportional to 47,692.97, 71,539.95 and 14,413.31

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Solution

The fourth proportional to 47,692.97, 71,539.95 and 14,413.31 is: 21,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.97 : 71,539.95 = 14,413.31 : x
  2. Step 2: Convert to fraction form
    47,692.97/71,539.95 = 14,413.31/x
  3. Step 3: Cross multiply
    47,692.97x = 71,539.95 × 14,413.31
  4. Step 4: Simplify right side
    47,692.97x = 1,031,127,476.73
  5. Step 5: Solve for x
    x = 1,031,127,476.73/47,692.97
  6. Step 6: Final answer
    x = 21,620.11

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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.