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Finding the Fourth Proportional to 49,384.68, 74,081.52 and 16,096.20

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Solution

The fourth proportional to 49,384.68, 74,081.52 and 16,096.20 is: 24,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384.68 : 74,081.52 = 16,096.20 : x
  2. Step 2: Convert to fraction form
    49,384.68/74,081.52 = 16,096.20/x
  3. Step 3: Cross multiply
    49,384.68x = 74,081.52 × 16,096.20
  4. Step 4: Simplify right side
    49,384.68x = 1,192,430,962.22
  5. Step 5: Solve for x
    x = 1,192,430,962.22/49,384.68
  6. Step 6: Final answer
    x = 24,145.77

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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.