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Finding the Fourth Proportional to 32,413.66, 48,639.62 and 13,692.48

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Solution

The fourth proportional to 32,413.66, 48,639.62 and 13,692.48 is: 20,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.66 : 48,639.62 = 13,692.48 : x
  2. Step 2: Convert to fraction form
    32,413.66/48,639.62 = 13,692.48/x
  3. Step 3: Cross multiply
    32,413.66x = 48,639.62 × 13,692.48
  4. Step 4: Simplify right side
    32,413.66x = 665,997,024.06
  5. Step 5: Solve for x
    x = 665,997,024.06/32,413.66
  6. Step 6: Final answer
    x = 20,546.80

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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.