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Finding the Fourth Proportional to 32,408.62, 48,579.64 and 12,413.42

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Solution

The fourth proportional to 32,408.62, 48,579.64 and 12,413.42 is: 18,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.62 : 48,579.64 = 12,413.42 : x
  2. Step 2: Convert to fraction form
    32,408.62/48,579.64 = 12,413.42/x
  3. Step 3: Cross multiply
    32,408.62x = 48,579.64 × 12,413.42
  4. Step 4: Simplify right side
    32,408.62x = 603,039,691.18
  5. Step 5: Solve for x
    x = 603,039,691.18/32,408.62
  6. Step 6: Final answer
    x = 18,607.38

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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.