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Finding the Fourth Proportional to 36,196.36, 49,950.78 and 20,280.40

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Solution

The fourth proportional to 36,196.36, 49,950.78 and 20,280.40 is: 27,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,196.36 : 49,950.78 = 20,280.40 : x
  2. Step 2: Convert to fraction form
    36,196.36/49,950.78 = 20,280.40/x
  3. Step 3: Cross multiply
    36,196.36x = 49,950.78 × 20,280.40
  4. Step 4: Simplify right side
    36,196.36x = 1,013,021,798.71
  5. Step 5: Solve for x
    x = 1,013,021,798.71/36,196.36
  6. Step 6: Final answer
    x = 27,986.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.