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Finding the Fourth Proportional to 49,033.80, 73,551.42 and 12,097.80

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Solution

The fourth proportional to 49,033.80, 73,551.42 and 12,097.80 is: 18,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,033.80 : 73,551.42 = 12,097.80 : x
  2. Step 2: Convert to fraction form
    49,033.80/73,551.42 = 12,097.80/x
  3. Step 3: Cross multiply
    49,033.80x = 73,551.42 × 12,097.80
  4. Step 4: Simplify right side
    49,033.80x = 889,810,368.88
  5. Step 5: Solve for x
    x = 889,810,368.88/49,033.80
  6. Step 6: Final answer
    x = 18,146.88

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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.