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Finding the Fourth Proportional to 49,384.92, 74,078.16 and 16,104.84

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Solution

The fourth proportional to 49,384.92, 74,078.16 and 16,104.84 is: 24,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384.92 : 74,078.16 = 16,104.84 : x
  2. Step 2: Convert to fraction form
    49,384.92/74,078.16 = 16,104.84/x
  3. Step 3: Cross multiply
    49,384.92x = 74,078.16 × 16,104.84
  4. Step 4: Simplify right side
    49,384.92x = 1,193,016,914.29
  5. Step 5: Solve for x
    x = 1,193,016,914.29/49,384.92
  6. Step 6: Final answer
    x = 24,157.51

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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.