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Finding the Fourth Proportional to 48,638.66, 72,958.72 and 13,578.50

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Solution

The fourth proportional to 48,638.66, 72,958.72 and 13,578.50 is: 20,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638.66 : 72,958.72 = 13,578.50 : x
  2. Step 2: Convert to fraction form
    48,638.66/72,958.72 = 13,578.50/x
  3. Step 3: Cross multiply
    48,638.66x = 72,958.72 × 13,578.50
  4. Step 4: Simplify right side
    48,638.66x = 990,669,979.52
  5. Step 5: Solve for x
    x = 990,669,979.52/48,638.66
  6. Step 6: Final answer
    x = 20,367.95

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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.