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Finding the Fourth Proportional to 49,206.28, 73,821.78 and 14,146

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Solution

The fourth proportional to 49,206.28, 73,821.78 and 14,146 is: 21,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206.28 : 73,821.78 = 14,146 : x
  2. Step 2: Convert to fraction form
    49,206.28/73,821.78 = 14,146/x
  3. Step 3: Cross multiply
    49,206.28x = 73,821.78 × 14,146
  4. Step 4: Simplify right side
    49,206.28x = 1,044,282,899.88
  5. Step 5: Solve for x
    x = 1,044,282,899.88/49,206.28
  6. Step 6: Final answer
    x = 21,222.55

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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.