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Finding the Fourth Proportional to 47,692.96, 71,539.92 and 14,413.28

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Solution

The fourth proportional to 47,692.96, 71,539.92 and 14,413.28 is: 21,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.96 : 71,539.92 = 14,413.28 : x
  2. Step 2: Convert to fraction form
    47,692.96/71,539.92 = 14,413.28/x
  3. Step 3: Cross multiply
    47,692.96x = 71,539.92 × 14,413.28
  4. Step 4: Simplify right side
    47,692.96x = 1,031,124,898.14
  5. Step 5: Solve for x
    x = 1,031,124,898.14/47,692.96
  6. Step 6: Final answer
    x = 21,620.07

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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.