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Finding the Fourth Proportional to 36,196.48, 49,950.66 and 20,281.24

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Solution

The fourth proportional to 36,196.48, 49,950.66 and 20,281.24 is: 27,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,196.48 : 49,950.66 = 20,281.24 : x
  2. Step 2: Convert to fraction form
    36,196.48/49,950.66 = 20,281.24/x
  3. Step 3: Cross multiply
    36,196.48x = 49,950.66 × 20,281.24
  4. Step 4: Simplify right side
    36,196.48x = 1,013,061,323.62
  5. Step 5: Solve for x
    x = 1,013,061,323.62/36,196.48
  6. Step 6: Final answer
    x = 27,987.84

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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.