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Finding the Fourth Proportional to 49,006.49, 73,500.94 and 12,983.18

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Solution

The fourth proportional to 49,006.49, 73,500.94 and 12,983.18 is: 19,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006.49 : 73,500.94 = 12,983.18 : x
  2. Step 2: Convert to fraction form
    49,006.49/73,500.94 = 12,983.18/x
  3. Step 3: Cross multiply
    49,006.49x = 73,500.94 × 12,983.18
  4. Step 4: Simplify right side
    49,006.49x = 954,275,934.19
  5. Step 5: Solve for x
    x = 954,275,934.19/49,006.49
  6. Step 6: Final answer
    x = 19,472.44

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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.