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Finding the Fourth Proportional to 48,052.35, 72,078.35 and 12,992

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Solution

The fourth proportional to 48,052.35, 72,078.35 and 12,992 is: 19,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,052.35 : 72,078.35 = 12,992 : x
  2. Step 2: Convert to fraction form
    48,052.35/72,078.35 = 12,992/x
  3. Step 3: Cross multiply
    48,052.35x = 72,078.35 × 12,992
  4. Step 4: Simplify right side
    48,052.35x = 936,441,923.20
  5. Step 5: Solve for x
    x = 936,441,923.20/48,052.35
  6. Step 6: Final answer
    x = 19,487.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.