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Finding the Fourth Proportional to 49,384.68, 74,084.72 and 16,097.02

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Solution

The fourth proportional to 49,384.68, 74,084.72 and 16,097.02 is: 24,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384.68 : 74,084.72 = 16,097.02 : x
  2. Step 2: Convert to fraction form
    49,384.68/74,084.72 = 16,097.02/x
  3. Step 3: Cross multiply
    49,384.68x = 74,084.72 × 16,097.02
  4. Step 4: Simplify right side
    49,384.68x = 1,192,543,219.53
  5. Step 5: Solve for x
    x = 1,192,543,219.53/49,384.68
  6. Step 6: Final answer
    x = 24,148.04

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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.